Yes, the edges are fuzzy but biology and sociology, the 2 domains defining gender, are not one dimensional. There are many ways an individual could step out of the majority cohort with different body, brain or social perception traits. There are many gender determining factors.
Imagine a empathetic, low testosterone and muscle structure male that loves to be a kindergartener. Lets say he develops homosexual tendencies in his 30s and tries to late transition in his 40s. The role he played in society never changed, "he" has always been the same feminine guy caring for children but somewhere in is life, your perception of him changed. At what stage in his life would he fall out or into your category of "protecting of the weak"? What if the same person transotions before puberty and is indistinguishable from a 'real' woman from the outside?
I could keep toying with you by using your simplicity against you, since there are fuzzy edges everywhere.
> stop demanding the world to see you as something you aren’t.
What if its you seeing someone as something they arent?
If you dont like that transwomen want to be called and regarded as "real" women, just remind yourself about the complexity of what a "real" women is and that this person primarily just wants to fit in the role and is satisfied with that social, and not biological, definition of a "real" women.
In essence, the entire topic is about broad category mismatches, human dignity and respect and cognitive biases around out groups and disgust. And no matter how long you keep stare on ot, your dick wont give the full picture.