I've been pronouncing it "vadg-yne." Slightly more accent on the first syllable, now that I think about it.
How embarrassing, OP! Hope you've only been saying it like that in front of a mirror.
What the hell - it's a pussy for pete's sake!
R10 Yes, but do you pronounce it "poussée?"
Mrs. Slocombe, still trying to turn Mr. Humphries
R9, I like pronouncing it that way. It sounds more fun.
Vagine is a state of mind, it's a knock, knock, knock on heaven's door, it's a cresting wave of liquid bliss, it's the season of eternal May, it's a vessel from an antique land, it's the answer and the question.
Don't pronounce it. Be it.