How about Muslim prayer rooms in airports?
I don’t have a problem with whatever accommodation a private industry wants to offer to its customers - that seems to be something driven by the marketplace, and something that businesses should decide on their own. (If they do things like letting men into the women’s bathrooms, they’ll suffer the consequences. I’m wondering again: what happens when a Muslim woman is freaked-out because she finds a strange man in the bathroom with her?)
As far as public swimming pools and religions go: If you have ‘women-only’ swim-time, then all of the women can have their time together, out of the ‘male gaze’. The Jewish ladies can swim with the Muslim ladies. Problem fixed.
People keep trying to solve things with ‘general rules’. but nothing is ever solved that way. Expediency is often an excuse these days to impose ideology upon others.
-JT