I've answered your question. But I've got a new answer for you:
I reject the idea that Bryson represents all trans-people. Cherry-picking a scary trans-person and using them to represent all trans-people is bigoted fear-mongering and I will not participate in it.
I'm tired of this merry-go-round. That's the response you get verbatim every time you bring up Bryson or any other scary trans-person.
Bryson (and too many others) represent a problem with self-ID as an entitlement to override sex segregation.
Self-ID, as a policy, benefits no-one. It doesn't benefit women. It doesn't benefit people who actually suffer from gender dysphoria*, and need acceptance and support. The only people it benefits are misogynists and predators.
*On the other hand, you've dismissed gender dysphoria as a medical hoax, perpetrated by anti-trans fearmongers.
(Ironically, this is in fact backwards. Gender dysphoria has been dismissed as a medical hoax, by the misogynists and predators that have infiltrated the LGBW rights movement, gutted it, and are wearing it like a skin suit while demanding respect. But whatever.)
Very well. If gender dysphoria isn't real, then we can safely dismiss any appeal to mental health, medical necessity, etc. to justify an entitlement to women's spaces.
So what's left? Just your circular and ultimately meaningless "definition" of what a woman is. Speaking of which...
Earlier you asserted that women's clothing exists and signifies womanhood. I'm happy to stipulate that women's clothing exists. But does it really signify womanhood? Do you really want it to signify womanhood?
If a man puts on a dress, do you think that makes him a woman?
If a woman puts on trousers, do you think that makes her a man?
Can a man be a woman if he says he's a woman, even if he's wearing trousers at the time?
Tig Notaro wears trousers and says she's a lesbian. Does that make her a heterosexual man, in your view?