Ah, so you think if you pretend not to see where your beliefs end up then they don't end up there?
Sorry, it doesn't work like that.
If you believe TWAW then yes, you do believe that the female half of humsnity neither has nor needs its own rights, its own name and any political, legal and social existence, because if you are including trans women in the definition of "woman" you are unavoidably changing what the word woman means. You are deciding it is justified to take it away from the female half of humanity and use instead of a different group, what from your reply appears to be a nebulous one based on nothing more than self definition and a desire to use the word "woman" for oneself.
If you disagree, don't just say I'm wrong. Prove me wrong. Tell me:
what is the name for the female of half of humanity?
what is the difference between men and women such that we need those names at all?
what qualities should I regonise in myself and transwomen but no other male people that makes us "women"?
what is the connection between the people we used to think of as women ie adult human female humans, and the people you now consider women that means it makes sense to use the original name of the forner for the latter?
Because again, you have decided this "woman" thing, whatever it is, is so important that not only does it need a nane and recognition, it needs to have specifically the name that originally meant the female half of humanity, because the female half of humanity aren't important enough to need naming. I think the least you should be able to do is explain why you think that.