I also dislike the assumption some people make and push, that all transwomen want access to women's spaces to do pervy things or rape us.
I have never, ever seen anyone say that.* *
I have however, seen many posters like yourself use it as a straw man.
Why is it so hard to grasp? Most people can understand that
All rapists are men
=/=
All men are rapists
But because some are, we keep all of them out off places where woman are vulnerable.
Everyone understands this. And yet
"Some TW are rapists" - which is an undeniable* fact, gets turned into:
'You said all TW are rapists, you bigot!'
*undeniable except by people who argue that the rapists are somehow 'pretend' TW. Given that we can never know the contents of another person's mind, and given that all is required to be true trans is to consider yourself to be, its a useless and irrelevant distinction. Nobody else can tell which is which, even if a distinction exists in their own mind.