Okay so how will your vision of single sex spaces work?
A trans man, gone through surgery, has a penis. They should use the women's spaces?
A butch presenting, cis lesbian, should they be afraid of using women's spaces because they might get questioned/harassed?
Do I need to ensure I'm presenting myself well enough as a woman each time I need to nip to the loo? Are jeans okay or should I stick to skirts?
If you're afraid of men being perverts/assaulting women under the guise of trans identifying and using women's spaces, that's an issue with MEN not trans women.