Is an XY individual with androgen insensitivity syndrome not a woman? Here is a person who looks, sounds and grows up perfectly female who is technically genetically male. What about an intersex person are they male or female or both? Is our gender identity determined by looking down at our genitals or is it contained between our ears and if so, is it more a question or nature or nurture?
It is easy to simplify this subject and forget that are there are many existing anomalies and permutations that society would rather ignore to suit it's own needs. But it is not reality to think in terms of perfect uniformity because it is not how nature truly works. I challenge you to find me an example where that is the case but I know you will instead find there is much more diversity than first meets the eye. If you are part of that diversity, it's time to stand up and be counted.
There is still so much we don't know.