Am new to all this but what I don't understand is
You have the biological things that determine sex - genitalia and for women ovaries, womb, breasts potential to have children and lactate and then you have gender which is basically an environmental construct.
There is no 'real' woman. There is a set of obligations and expectations of my gender.
So what are transwomen adopting? What are your expectations of this gender role? Because I have three daughters who are all different to each other in personality and interests. Their environment pushes them toward certain values and interests but I'd say before the age if about 7 there is very little difference between them and their male friends.
So what does being a woman represent to a person who wants to change their gender?