The Prophet Muhammed was a Pedophile.

The waiting period of those of your women who have lost all expectation of menstruation shall be three months in case you entertain any doubt; and the same shall apply to those who have not yet menstruated. As for pregnant women, their waiting period shall be until the delivery of their burden. Allah will create ease for him who fears Allah.

(And for such of your women as despair of menstruation) because of old age, (if ye doubt) about their waiting period, (their period (of waiting) shall be three months) upon which another man asked: “O Messenger of Allah! What about the waiting period of those who do not have menstruation because they are too young?” (along with those who have it not) because of young age, their waiting period is three months. Another man asked: “what is the waiting period for those women who are pregnant?” (And for those with child) i.e. those who are pregnant, (their period) their waiting period (shall be till they bring forth their burden) their child. (And whosoever keepeth his duty to Allah) and whoever fears Allah regarding what he commands him, (He maketh his course easy for him) He makes his matter easy; and it is also said this means: He will help him to worship Him well.

The `Iddah of Those in Menopause and Those Who do not have Menses
Allah the Exalted clarifies the waiting period of the woman in menopause. And that is the one whose menstruation has stopped due to her older age. Her `Iddah is three months instead of the three monthly cycles for those who menstruate, which is based upon the Ayah in (Surat) Al-Baqarah. see 2:228 The same for the young, who have not reached the years of menstruation. Their `Iddah is three months like those in menopause.

And [as for] those of your women who (read allā’ī or allā’i in both instances) no longer expect to menstruate, if you have any doubts, about their waiting period, their prescribed [waiting] period shall be three months, and [also for] those who have not yet menstruated, because of their young age, their period shall [also] be three months — both cases apply to other than those whose spouses have died; for these [latter] their period is prescribed in the verse: they shall wait by themselves for four months and ten [days] [Q. 2:234]. And those who are pregnant, their term, the conclusion of their prescribed [waiting] period if divorced or if their spouses be dead, shall be when they deliver. And whoever fears God, He will make matters ease for him, in this world and in the Hereafter.

The Muslims knew that Allah’s Messenger (Allah bless him and give him peace) loved `A’isha, so if any of them had a gift and wished to give to Allah’s Messenger (Allah bless him and give him peace), he would delay it, until Allah’s Messenger, (Allah bless him and give him peace), had come to `A’isha’s home and then he would send his gift to Allah’s Messenger, (Allah bless him and give him peace), in her home.
The group of Umm Salama discussed the matter together and decided that Umm Salama should request Allah’s Messenger (Allah bless him and give him peace) to tell the people to send their gifts to him in whatever wife’s house he was. Umm Salama told Allah’s Messenger (Allah bless him and give him peace) of what they had said, but he did not reply. Then they (those wives) asked Umm Salama about it. She said, ‘He did not say anything to me. ‘They asked her to talk to him again. She talked to him again when she met him on her day, but he gave no reply. When they asked her, she replied that he had given no reply. They said to her, ‘Talk to him till he gives you a reply. ‘When it was her turn, she talked to him again. He then said to her, ‘Do not hurt me regarding `A’isha, as the Divine Inspirations do not come to me on any of the beds except that of `A’isha. ‘On that Umm Salama said, ‘I repent to Allah for hurting you. ‘
Then the group of Umm Salama called Fatima, the daughter of Allah’s Messenger, (Allah bless him and give him peace), and sent her to Allah’s Messenger, (Allah bless him and give him peace), to say to him, ‘Your wives request to treat them and the daughter of Abu Bakr on equal terms. ‘Then Fatima conveyed the message to him. The Prophet (Allah bless him and give him peace) said, ‘O my daughter! Don’t you love whom I love? ‘She replied in the affirmative and returned and told them of the situation.
They requested her to go to him again, but she refused. They then sent Zainab bint Jahsh who went to him and used harsh words saying, ‘Your wives request you to treat them and the daughter of Ibn Abu Quhafa on equal terms. ‘On that, she raised her voice and abused `A’isha to her face so much so that Allah’s Messenger (Allah bless him and give him peace) looked at `A’isha to see whether she would retort. `A’isha started replying to Zainab until she silenced her. The Prophet (Allah bless him and give him peace), then looked at `A’isha and said, ‘She is really the daughter of Abu Bakr. ‘”[Bukhari]

If Muhammed preferred his youngest wife, who was a prepubescent child, over his adult wives, then by definition, he was a pedophile. 

Khadija

Around the age of 25, Muhammad wed his wealthy employer, Khadija, the 28-or 40-year-old widow, and daughter of a merchant.

"Sexual perversion in which children are the preferred sexual object."

Khadija

Around the age of 25, Muhammad wed his wealthy employer, Khadija, the 28-or 40-year-old widow, and daughter of a merchant.

"Mohammed was said to have “consummated” his union with Aisha when she permanently moved into his home, after living separately for several years.  Mohammed was recorded to have waited “until Aisha had reached puberty” to consummate the marriage (Armstrong 2006: 93).

with these ideas in mind, I can put the fact that Muhammad didn't prefer Aisha over his other wives..."

"Narrated `Aisha:

I used to play with the dolls in the presence of the Prophet, and my girl friends also used to play with me. When Allah's Messenger (ﷺ) used to enter (my dwelling place) they used to hide themselves, but the Prophet would call them to join and play with me. (The playing with the dolls and similar images is forbidden, but it was allowed for `Aisha at that time, as she was a little girl, not yet reached the age of puberty.) (Fath-ul-Bari page 143, Vol.13)"

"‘Aisha (Allah be pleased with her) reported that Allah’s Apostle (May peace be upon him) married her when she was seven years old, and he was taken to his house as a bride when she was nine, and her dolls were with her; and when he (the Holy Prophet) died she was eighteen years old."

"Many early Islamic scholars insist that Mohammed’s marriage to Khadijah was indeed a marriage born out of respect and love, as well as opportunity. Mohammed lost his mother at a very early age, and many early Islamic scholars believe that this trauma caused Mohammed, on some primal level, to seek motherly support from his marriage to Khadijah (Armstrong 2006)...

...Khadijah not only supported Mohammed politically and financially but also encouraged him to strive for his image of a dominant Islamic religion; she was even the first to speak the shahada (a ritualized oath through which its speaker confesses obedience and acceptance of Allah as the one and only god and Mohammed as Allah’s messenger) and convert to Islam (Hazleton 2013).

with this in mind, I can argue that Muhamad preferred Khadija over Aisha,"

"The Prophet (ﷺ) deputed me to read the Army of Dhat-as-Salasil. I came to him and said, "Who is the most beloved person to you?" He said, " `Aisha." I asked, "Among the men?" He said, "Her father." I said, "Who then?" He said, "Then `Umar bin Al-Khattab." He then named other men."

Aisha was recorded as aged around 64 years when died. She was 6 years old when she was married to Prophet Mohammad, She lived about 50 years after the death of Prophet Mohammad 

She had 14 years of marriage but there were no kids  Mohammad had with Aisha

Prophet had 7 kids in total. 3 sons and 4 daughters.

Daughters were: Fatima, Ruqayya, Zainab and

 Umme Kulsoom

And sons were:  Abdullah, Al-Qasim, and Ibrahim.

All the kids  Mohammad had been with His first wife Khadija except one son Ibrahim. Who was recorded to have with Maria, the 11th wife after Khadija

with this idea, I can also argue that Aisha was not the preferred sexual object of the prophet Muhamad because they didn't have a single child together.

"Narrated 'Aisha: I used to wash the semen off the clothes of the Prophet and even then I used to notice one or more spots on them."

"Narrated 'Aisha: The Prophet and I used to take a bath from a single pot while we were Junub. During the menses, he used to order me to put on an Izar (dress worn below the waist) and used to fondle me."

"Narrated Aisha, Ummul Mu'minin: The Prophet (peace be upon him) used to kiss her and suck her tongue when he was fasting."

"Whenever Allah's Apostle wanted to go on a journey, he would draw lots as to which of his wives would accompany him. He would take her whose name came out. He used to fix for each of them a day and a night. But Sauda bint Zam'a gave up her (turn) day and night to 'Aisha, the wife of the Prophet in order to seek the pleasure of Allah's Apostle (by that action)."

"Zayd was a slave gifted to Mohammed by his first wife Khadijah; but, when Zayd’s family came to ransom him back, Zayd begged to stay with Mohammed. Mohammed was so touched by the boy’s affection that he decided to free Zayd and adopt him. Similarly, Mohammed adopted Ali, the son of Abu Talib, Mohammed’s uncle and surrogate father. After Abu Talib had fallen under considerable financial constraint, Mohammed gladly adopted Ali to ease his troubles. Mohammed was recorded as caring for both of his adopted wards equally and “treating them as his sons” (Armstrong 2006: 27). This overt love and compassion towards children, in particular, seems to show that, while Mohammed may have married Aisha, he did not forget that she was still a child. How could Mohammed, a man who cares so deeply for children, agree to enter a sexual relationship with a young girl the same way as he would a woman his age?"