Man/male or woman/female is what sex is that person has.
Males and females have biological differences. It is not about feelings.
ie. Biologically the (Reproductive System) The tissues, glands, and organs involved in producing offspring (children). In women, the reproductive system includes the ovaries, the fallopian tubes, the uterus, the cervix, and the vagina. In men, it includes the prostate, the testes, and the penis.
This science. If you wish to believe gender is in the brain....feel free. But biologically, the sex of a person is defined physically.