Speaking for my wife and every other woman I know, they much prefer pussy and I have only ever met one or two who ever called it their cunt.
One funny story though. English is not my wifes first language and she hadn't heard many slang or swear words in her language lessons., but she knew pussy was not the medical name for a ladies genitals Somewhere along the line, she heard of her vagina being called a cunt and when she was talking to friends or other woman, when they were talking about their bits, muff, punani etc, she was calling it her cunt. Apparently she was calling it that amongst woman for quite a while until they corrected her and she asked me about it. Thing is, she very rarely swears, so they were a little surprised about her being all prim and polite but then saying cunt.