I support the rights of women and girls.
The reason for separate female spaces has nothing to do with how one thinks and feels, but rather the physical genitalia of men and women, the recognition that women are more likely to be raped, molested, and physically harmed and that women in a state of undress are vulnerable. This by no means suggests that men who think they are women or boys who think they are girls are more likely to be rapists/abusers/attackers, but rather that opening these spaces creates opportunities for any man or any boy to take advantage of the situation. I think it is also important to recognize that girls in their teens are self conscious about their bodies and often reluctant to even change in front of other girls and it is unfair to them to increase their discomfort by allowing boys in their spaces. It also breaks down the natural defenses of girls to assess danger when society forces them into situations that are naturally and biologically uncomfortable.
I also support girls and women's right to compete against other girls and women (not boys or men who think they are girls or women.) Male and female anatomy are different, with boys and men developing stronger bones and muscles, having a different center of gravity and growing taller & heavier. It puts girls and women in danger to compete against men. It also is a complete rewrite of Title IX which is responsible for the growth and opportunities of women's sports, ultimately diminishing the opportunities for women.
Protect and support women and girls.