There are many men in society who will really enjoy with several parts of them, women being forced to genuflect and be submissive to men like this in public.
All spaces will be men's spaces. Women may use them if they are good girls who are willing to be used by the men in there for whatever agenda. Just a visual prop if you're lucky, but it's not up to you. Eyes down, mouth shut, control your facial expression and body language.