Women have boundaries that men don't experience.
It does not matter whether personally you don't agree with religion or think women should be allowed to enact ones you personally see as misogynistic. It's a fundamental naivety to the reality of those women and it's a bit colonialist really to see western white culture as superior and demand that people just get with your obviously better and more righteous way of life. This seems to me a really unpleasant attitude.
Those women are not all going to abandon their religion, culture, family, friends, and deal with all the fall out of that, because someone with no clue about their lives tell them to. Those religions and cultures are not all going to change by next week or next year either.
So do we abandon some women to not being able to work in their qualified field, or to have equal access to society, because their personal boundaries and protected characteristics are currently not helpful to those who see the shoehorning of male people into female spaces as the only protected characteristic that matters?
If we're going to respect that some male people wish to access women's single sex spaces because of their feelings, needs, identity, personal culture and beliefs, then those male people in turn need to respect those exact same things in some female people who cannot share a space with them. And we need to come up with solutions that work for all which is going to be accepting that sometimes some women say no, and cannot put a male born person's needs above their own.