Just in case anyone is reading this and unaware.
To be a transwoman, a male simply has to have the thought in his head. No physical changes need to be made to access women's spaces. No diagnosis, no surgery, no hormones, and not even a change of clothes is needed. There is no gatekeeping for the majority of the time, just accepting someone's word for it.
Imagine the dodgiest bloke you know, we all know at least one, don't we? You know, the one you didn't like to be left alone with, or hid from in the women's toilets as he gets handsy when he's had a drink. Now that bloke is called Tiffany and is in the changing room with your 11-year-old daughter, is that OK? Because I don't think it is.
Over 90% of transwomen still have a penis by the way, and most of them are attracted to women (and like to call themselves lesbians).
Third spaces would be the answer, it would allow trans people a space for themselves, plus all of the vocal allies would be in there too I assume.
Why do you think the likes of Stonewall aren't campaigning for them?