Innocent. perverted girls can be a bit off putting. Of course it depends a bit too what kind of perverted we're talking about. Someone into weird stuff? someone who can't stop watching porn and always talks about perverted things? or something like a nymphomaniac? If it's the first that's not really a big deal, unless they're into -really- weird stuff. Second I've encountered before and it was annoying as well as made me a bit uncomfortable but I guess I could live with that if I had to. Third option without question I wouldn't touch with a ten mile long poll.
Maybe a mix of Kawaii on the streets and hentai in the sheets?
Example: Sena from Haganai
or Yamada from B Gota H Kei...Akihiko Usami ...rawr
Innocent girls are cute tbh like the way they act and how tjey are unfamiliar with alot of stuff while perverted girls are...perverted XD