It's not just irrelevant, it's nitpicking to the molecular level.
You could know someone for YEARS and never know what their specific chromosomes are, does that mean they're not the gender they say they are?
I'm not claiming that it does. It would be foolish to think that it makes them a different person.
But medically speaking they do possess the genetic strcuture of one gender or another.
Don't criticise me for claiming a fact from a place of no emotion and of pure diagnosis.
If I were to find a trace of their DNA decades after they died, and I never knew them, to look at them I would see just one gender. But that doesn't mean they weren't whichever gender they were psychologically.
It's up to the individual to choose how they present themselves and how they wish to be seen, in the same way it's up to the individual to choose how they see another.
I wouldn't condone someone being against another person just because that person doesn't have the chromosomes you thought they did or that they act like they do.
It's the psychological gender that is important, not the biological.
I'm trying to say this all from a scientific level, no society involved. I presented a working ovulation system to differ between someone who was born with a snake and a vagina but the inability to give birth. As far as I'm concerned, if you are a human who can give birth without surgical finagling, then you are female. Now, you can debate morals, but if you can physically produce offspring, you're female. People might get butthurt with this statement, but I am not speaking about morals, or ideals or anything. Just biology.
That's perfectly fair.
I was just more concerned on the level that, if someone were born as a female, with female genetic coding, but they didn't have a working ovulation system, due to mutation or whatnot, then it wouldn't make them not female at the biological level.
I see how your point works for covering hermaphrodites too, but it doesn't cover (biologically) those who are just infertile. If you go by a literal interpretation of the encyclopedia definition of Male and Female, then anyone who doesn't produce sperm or an egg cell has no gender.