I don’t know which one leaves first but I have noticed it is much easier for a women to leave, especially if you are a convert or a second generation convert. No one cares about you if you don’t come from a prominent JW family. No public talks, no MS , no eldership. There was a lady in my cong that even skipped the memorial and no one cared.
I think men usually wake you first because they are more exposed to the uginess of it. Too most women it is just a social club.