I don't think it's an issue of a mental image of a transperson, whether it is a she or a he. It's the unfounded fear that every transwoman entering a ladies' room is a sexual pervert, who is looking to molest young girls. I wonder why these people think it is safe for their young sons to go into a men's room without any supervision? I am not aware of any sexual perversion happening against young girls in ladies' rooms by transwomen. There are plenty of reports of sexual perversion/molestation happening against young boys and girls by teachers, youth leaders, clergy and male family members. There are also many stories of female on male student inappropriate behavior.
Jennifer, you do not exude traces of male deviant behavior. I wonder if you put up a picture of yourself en femme, but, disclosed you're a genetic male and pictures of a man of the clergy and a scout leader, which picture would the public select as most apt to molest their little boys?