Regarding the rent for sex thing: The statistics I’ve been able to find are all over the place, but it looks like men are much more likely to not have a proper place to sleep than women. My impression is this is caused by lots of things (I think there are more ways for a woman to be eligible for government/non-profit assistance, for example), but it does seems like evidence that women are exchanging sex for shelter anyway (either directly/explicitly or less directly, like staying in a relationship where the main thing she gets is shelter and the main thing the other person gets is sex).
Regarding the rent for sex thing: The statistics I’ve been able to find are all over the place, but it looks like men are much more likely to not have a proper place to sleep than women. My impression is this is caused by lots of things (I think there are more ways for a woman to be eligible for government/non-profit assistance, for example), but it does seems like evidence that women are exchanging sex for shelter anyway (either directly/explicitly or less directly, like staying in a relationship where the main thing she gets is shelter and the main thing the other person gets is sex).