I'd understand if it was the word slut or whore but there's no way the word bitch is misogynistic.
"No way?" Seriously? A word that for hundreds of years has been used to debase and denigrate women, that literally equates them with dogs? Sure, in recent years the definition has been broadening and becoming more gender-neutral in some
uses, but that's a very, very recent change and far from universal. I still see it used misogynistically quite often.
Anyway, since we're both men (I assume from your username), neither of us is really qualified to judge whether it's offensive to women. That's for women themselves to decide, of course.