Being pro woman means that you support each other. It doesn't mean that you turn on others simply because they were not born anatomically like you.
Absolutely, be kind and support one another. However, that doesn’t mean that the person you are supporting should have all their views affirmed. It also doesn’t mean you should subserve your own identity in order to support another.
There is a huge amount competing needs and rights in order to attain some semblance of equality.
So, on a train there is a disabled seat, for pregnant women and disabled people. If a woman sat in it because their feet were hurting ( not pregnant) they should still make way for a disabled person. It doesn’t matter that the women has been discriminated against and disadvantaged because they are A women. If despite his disability, the disabled man also has a huge amount of white, middle class, male privilege in spades, the seat still goes to the disabled man, because it has been set aside for the disabled.
Single sex spaces are similarly set aside for one sex, or another. It doesn’t matter if trans people are the most discriminated people in the history of mankind, the spaces are allocated and ring fenced by sex.
If trans people are being discriminated against to access non equality specified places and to live their lives as members of the human race eg housing, work, education etc I will be there marching with them and supporting them.
However, trans people don’t get to trump everyone else’s rights, they are not the only people to suffer discrimination. They also don’t get to police thoughts and speech because they disagree, or don’t like it. They are entitled to equality, not to become a sacred caste.