It does happen that men do convert to the faith. I have seen it at my parish church.
I didn’t say it never happened, just that the probability is low. A woman who marries outside of her faith rarely sees the husband convert. Interfaith marriages indicate that religion is of lesser importance than the romantic relationship between the two.
For instance, I know a woman who wouldn’t marry her sweetheart if he wouldn’t accept her faith. They agreed on that and he eventually converted after which they were married.