So cause and effect still applies, it's just not a material process.
Nobody stipulated that "cause and effect" is a "material process".
Tautologically, any conceivable non-material force, ghosts, spirits, gods, and or invisible pink elephants either act according to causes or act according to non-causes.
If any conceivable non-material force, ghosts, spirits, gods, and or invisible pink elephants act according to causes, then their actions are not free.
If any conceivable non-material force, ghosts, spirits, gods, and or invisible pink elephants act according to non-causes, then their actions are not willed.
If your mind is controlled by any conceivable non-material force, ghosts, spirits, gods, or invisible pink elephants, then your mind is either not willed or not free. your mind is either not willed or not free. your mind is either not willed or not free.