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..
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1You may want to edit your question to include an example of a sentence where you would like to use this word or phrase. – ColleenV Apr 6 '17 at 13:37
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.