I did give examples earlier: pronouns, names, toilets, and you've mentioned another yourself—sports. Recent developments like the EHRC guidance arguably increase the significance of sex categories in some areas of everyday life.
My point isn't really about whether these categories are ultimately justified by biology or not. It's simply that they exist, and society organises many aspects of life around them. That's enough for the point I'm making.
Gender dysphoria is the persistent feeling of being in the wrong body/ social category. People were asking what the social aspect of that meant if not stereotypes. I was trying to explain that the issue isn’t that people feel they need to perform a particular social role (cooking, dress up, football), it’s that they feel that they are in the wrong sexed category. So anything that society does to recognise and give meaning to those categories causes them acute distress.
if we eliminated any meaning or social consequence to sexed categories, perhaps we could eliminate the feeling of being in the wrong one, but that is not something that is simple to eliminate because there are real biological differences which have social consequences and give rise to these categories.
The point is that these categories are real, and so is the experience of feeling like you are in the wrong one. This isn’t something that a person can “just get over”. They can get over being excluded from a particular sporting activity or team, but they can’t get over the distress that results from feeling they are in the wrong sexed category.
So the real questions are - how can we support these people to eliminate their distress? Should a democratic and justice society care about this minority and accommodate them? How? Should healthcare professionals try to “treat” this distress? What interventions are effective? How do we balance the harm that could be caused by interventions against the harm caused by leaving the distress “untreated”. These are normal questions we grapple with in all areas of medicine (and social policy more broadly).