interest in men; itch for men
Refers to a woman's inclination or tendency to be attracted to men, often with a nuance of a habitual or troublesome trait. The gloss 'itch for men' is colloquial and somewhat dated.
She is rumored to have a bad habit with men.
I'm appalled by her poor taste in men.
Compound of 男 (おとこ, 'man') and 癖 (くせ, 'habit, tendency'). The reading ぐせ is a rendaku form of くせ.