> There is a category called woman, it’s defined by something that’s identify related.
But that’s not how it’s defined. People have been using that word in every language humans ever invented for thousands of years to mean biological female. If you want to argue that there is something else that isn’t biological sex and you want to invent a word for it, go nuts, but “woman” is already defined. Words can and do change definitions over time, of course. If it’s your contention that the definition by consensus has already changed, say so, but there are billions of people on this earth who haven’t got the message, which seems odd for something determined by consensus of the people who use language.
Putting that aside, since sports are about physicality and accomplishing things in the real world, it makes no sense to base them on “identity” - something that cannot be detected or defined by anyone but the self identifier - rather they should be based on physical aspects of reality.
I’m not defending this definition, but I will point out that gender has never been about the chromosomes you were born with. It has been about how people around you perceived you and people often have overly simplistic ideas about exactly what that meant.
Plus it’s totally normal for words to have more technical detail than they first appeared. The idea of a sex binary doesn’t fully exist so we’d need something to deal with that anyway.
I personally support segregation based on hormones as the fairest option available. Otherwise if you use purely a genetic test there are plenty of women with high t levels without an sry gene and no one disputes that high t levels confer a biological advantage in many sports