@edgeofacoin
I agree, that is an excellent question. And I like that you're asking that question for both trans women and women.
My answer is obviously just my own opinion.
Yes, a trans woman should be allowed to distinguish themselves from members of the male sex, and no, they shouldn't be forced to share space unwillingly.
Exactly the same answer for women.
With regard to the toilet situation, I'd just very much like to see a solution that works for everybody.
And whilst I'm here. Apologies for commenting on an old thread, I hadn't paid attention to the dates.