Oh I’m not asking you to rationalise, just trying to understand. “Woman” is a well defined term and has been for millions of years of combined human history and experience, across all cultures and civilisations. It isn’t something anyone can be unless you already are one.
Not feeling like you belong to a set called “man” doesn’t mean you belong to the set called “woman”, especially if you believe that “non-binary” is a thing that exists, as it asserts that a male/female binary exists.