@freemo I think that as a man, there's more you generally need to do to keep yourself from being homeless. You have to hold a job, pay bills, etc.
If you're a woman, if you're single yes you'd still need to do these things, but there's also an expectation, even today, to enter a heteronormative relationship with a man, where he provides for the woman and she doesn't have to work if she doesn't want to. If she doesn't want to be married or live with someone, she could still sleep around with various men from night to night and always have a place to sleep.
All that said, with the current rates of virginity, relationships and marriages among my age range, I'd expect way more homeless women in society if we don't get our act together.