the solution is private rooms, and an end to communal ward.
In the meantime, more staff.
Some of us are feeling just as uncomfortable with other patients, visitors male or female. You are very lucky if you didn't need help, other mothers do and there's no one there. I don't feel some kind of sisterhood with anyone just because we happened to have had a baby the same week. Another female patient make me just as uncomfortable as their visitors, and some patients are horrendously loud ,noisy, chatting on their phone and a right pest.
I hate wards, women only or whatever, I hate them all with passion. Unless you are on intensive care and there's a genuine reason, it's high time they are abolished.
If a partner can stay to bring a minimum of help and help you feel safer and have some basic privacy, of course they should stay.