I looked over the Internet for a word that describes a man that is easily swayed and driven by women and their desires but I couldn't find one. I hope that you would be of help. Even if it's a phrase..
Do you mean something euphemistic like
He is susceptible to the charms of a woman.
or something less subtle
He is a horndog.
though horndog may have predator connotations.
Depends on who's the hunted, and who's the huntee.