I only know I am a woman because of my breasts, vagina, uterus, periods, my smaller than average height and lower than average strength, and the fact I have had two kids, conceived when I my male DH put his penis in me and inseminated me with his sperm.
I am a fairly gender conforming woman, in that I like dresses and makeup and
glitter. They are just things I happen to like and a lot of that will just be social conditioning.
But I don't 'know' I am a woman 'on the inside'. I don't 'feel it' in the same way that I feel attraction to people of the opposite sex (if we are allowed to say that people of the opposite sex exist as a thing). I only know I am a woman because of my biology.
What does that make me? Obviously not a woman by your logic?