@Truinio - "Some governing bodies (my own, British Cycling included) decided to take matters into their own hands prior to the SC ruling. Many were reluctant to do so. The SC clarification of the meaning of sex in the EA gave many more governing bodies the confidence to move ahead with banning males from the female category. International bodies (such as the UCI, which somewhat belatedly adopted BC's stance) have also mostly fallen into line..."
We may be at cross-purposes.
I was responding to @moto748e's reply to you that we have a state "to ensure that citizens are fairly dealt with under the law of the land, rather than let self-appointed bodies make the rules up."
Contrary to moto748e's view we know full well that both labour and tory governments have done absolutely sweet FA to protect women's sport from male intrusion and have been quite happy to let sports governing bodies allow men to participate in women only events.
Nor am I convinced that governing bodies have in recent years changed their policies because of the UK Supreme Court decision in FWS. I think they've basically followed the previous lead of international bodies like World Athletics and World Swimming who changed their policies on inclusion because of mounting scientific evidence and growing public opinion that male inclusion in women's sport was obviously unfair and dangerous. Perhaps British Cycling was ahead of the UCI in this respect but I think they may have been one of only very few British bodies that were ahead of their international counterparts.
Remember that the only reason the UK Supreme Court was called on to make any sort of decision at all about what the word woman meant in specific legislation in the first place was because FWS challenged a particularly stupid idea from the Scottish government. Thank god FWS were allowed to appeal from the decision of the Scottish Appeal court that went against them.
"Why should the state get involved in enforcing sex categories in sport? Surely that is up to each sport’s governing body?..."
Notwithstanding my earlier comments I think it's perfectly OK for the state to get involved in enforcing sex categories in sport if the relevant governing bodies have shown they can't do it properly themselves because of ideological capture. My complaint is that the state should have acted but hasn't
"... This looks like government overreach to me. Glad it couldn’t happen here and it is up to the governing bodies to apply the EA as clarified by the Supreme Court."
I'm not sure the Supreme Court did clarify this area. What if a governing body doesn't recognise a separate category for women but obviously should do?
"... Regarding your note, certainly for most (maybe all?) UK sports, the ban on males in the female category applies at all levels of competition, not just elite."
How do ParkRun get away with allowing men to self identify as women to get times in the women's rankings?
And so far as I'm aware the London Marathon allows men to self identify as women in the mass race. It's only in the elite, championship and "good for age" female categories that men are banned.
Parkrun and the London Marathon are two of the largest participation sporting events in the UK