I'm a send waver. I think gender stereotypes (and identity) is a load of piffle and i can't really give a stuff about what people do for hobbies, jobs, and fun. I don't give a stuff how they dress.
Obviously i have caveats to this because otherwise i wouldn't be posting here. And they are this: Where single sex provision is requested it should be provided. Exceptions only in very rare cases (I can think of emergency medical care but not much else to be honest). Clothing should be appropriate to the weather and occasion and normal standards of decency (so the German Green trans woman politician wearing a lacy see through top for parliamentary meetings can fuck off because other women wouldn't get past security dressed like that). Uniforms should be comfortable and practical (and with safety considerations/requirements accounted for) I don't believe women should be restricted to skirts, for eg, and men to trousers. If there is a uniform - all items should be available for all employees unless there is extremely good reason why not.
Sports - either open and women's (natal) categories, or women's, men's and open (except things where it really doesn't matter and the only one i can come up with is eventing and racing)
toilets, changing rooms: women's (natal), men's (natal) and 3rd. (whereby 3rd isn't taking any accessible spaces away)
Employment, politics etc. Where an industry/profession etc is traditionally dominated by men - all (natal) women shortlists, and affirmative actions are fine by me (and before anyone gets huffy: affirmative action is where 2 equally qualified candidates are up against each other - the one with the minority is picked. So woman over man for eg)
Some things should be for women, men, POC, whatever groups want them to be exclusive. If they are private organisations not in receipt of public money - have at it (Turf Club for example). If they are in receipt of public money and there are no regulations around single sex exceptions (ERCC for eg) then we need to be sensible. Yes men get raped, they deserve their own safe spaces for therapy and support. As do women. And if either of those groups want single sex spaces, then other people need to have facilities offered to them.
yadda yadda yadda
A bit of sense, understanding, compassion and empathy would go a long way. But nobody should be getting death threats for stating biological reality (or anything else really)