Thanks for taking these things into consideration! <3
Like I said, there's nothing in the rules that says you can't portray the character that way, but it's good to do research so that you can be respectful of other people's experiences. :) I know we have some trans members on this site, as well as many who suffer from mental illness -- which is a subject I especially like to encourage people to look into so they aren't copying damaging Hollywood tropes. ;)
Good luck with your character!