Agreed, Smileless. I will repeat - the vast vast majority of sex pests and rapists are men, which is why women have private spaces when we are vulnerable. Not all men are rapists (in fact the vast majority are not) but to prevent the ones who are from doing harm, no men were, until recently, allowed in. An odd cleaner or maintenance worker would announce himself in case his presence troubled women using the space. Nobody found this oppressive, discriminatory or hateful. Nobody needed to ‘check genitals’ or any of the other TA tropes - it was a tacit social contract which worked well for centuries. Everyone knew that this was to prevent the baddies from posing as the good guys and doing harm.
Regardless of their ‘feelings’, transwomen are men. Chaps. Lads. Blokes. Call them what you like, but every cell in their bodies is male. Like all the other men, most of them are not sex pests, but (and here’s the important bit) if they are allowed to access female spaces, those spaces are no longer women-only, so how do we know which of the men are the bad guys and which are not? Wearing a dress doesn’t take away superior strength, neutralise testosterone or stop sex offenders from offending. Not wanting men in women’s spaces is not discrimination against transpeople- it is simply wanting to keep women’s spaces safe for women.
I see there are no replies to the questions I asked upthread, incidentally. There never are. People can bluster as much as they like, make snide comments, twist words, make accusations of phobia, but until someone can answer those questions they don’t have a coherent argument for imposing men into women’s spaces.