Now, in one of the last exchanges with you, I discussed ways of lessening anxiety and overcoming the natural (in my opinion) unease associated with taking off clothes in the presence of the opposite sex, and specifically the natural fear that women may have with male nudity in situations where they are vulnerable.
I don't have complete answers, but I think the starting point has to be some sort of legal sex change, so that at the least, a male bodied person in a female space could demonstrate that the person is recognized as a woman in society. However, getting that legal recognition should not be as simple as declaring a desire. There has to be criteria established to prevent the scenario where someone is just kind of experimenting with sexuality and might like to say he's a woman for now.
I don't know what those criteria need to be. In my opinion, it shouldn't be available to anyone capable of functioning sexually as their birth sex. i.e. if you can get an erection, you would have to remain, legally, a man.
The particulars are not all that important for the purposes of this conversation. The point I am making is that women could probably overcome that natural anxiety if there was a process trans people could go through to "prove" that they are "really" women, despite appearances.