Re: Teacher OKs "Avoid[ing] touching females on religious grounds"
I had orthodox Jews in my dojo and we had the same issue re touching women and bowing. I told them it was OK not to bow (just to think of being grateful that "god" inspired O'sensei to create such an art) but that they could not refuse to practice with women.
some left some stayed and adjusted
if they'd have wanted a men only class they would have to find their own space, not at my dojo
that was my attitude