The idea that someone has a right to their own self identity and the right to define their sexuality in a way that they see fit is all true.
On an individual level, sure. But the transgender movement, on a societal level, has been steadily moving their goalposts forward. The goals trend like so:
Tolerance—> Acceptance—> Celebration—> Incentivisation/expansion
I’m ok with the first goal, maybe the second, but not the third and fourth. The proliferation of people who identify as transgender has exceeded any evolutionary or biological explanation. It has reached social contagion levels. Somehow, the fourth phase is happening at the same time or perhaps even before “celebration” has taken hold.
I'm just not sure how it causes "a problem" for "society."
Because it is an incoherent ideology, and to me, embracing incoherencies is bad for society. It causes groupthink, confusion, and chaos. The movement is seeking policies which I consider an overreach and fostering confusion. If you are truly curious, look into Canada’s policies and how a professor named Jordan Peterson got on the wrong side of them. You can also read the story of “The Emperor’s New Clothes” which serves as a prescient metaphor.