Looking for an English term or expression that describes a man who has been charmed and subjugated by a woman

There are many words or phrases that have overtones of being dominated rather than charmed but I can only suggest three that have a more positive feeling of being delightfully charmed:

bewitched

from bewitch = to attract or interest someone a lot so that you have the power to influence them

Cambridge dictionary

captivated

from captivate = to hold the attention of someone by being extremely interesting, exciting, charming, or attractive

Cambridge dictionary

enchanted = made to feel delightfully pleased or charmed; placed under or as if under a magic spell

Merriam Webster

Of these three I like captivated because it lacks the connotations of magic that sometimes accompany enchanted or bewitched

The woman enchants, bewitches or captivates.