So I had a thought; initially Cyprus was sort of a colony of a colony of a colony; it was Assyrian, Phoenician, Greek, Egyptian (although this period mostly maintained the still extant divide between Phoenician and Greek cities). However by the time if became christian it was mostly greek.
During the crusades it ended up with a relatively large venetian and frankish population although most of them packed up and left when Catherine Cornaro gave up the throne.
So apart from turkish or greek, how hard would it be to have Cypriots of another ethnicity from the area; say remain phoenician, becoming a romance exclave with a language akin to sicilian, becoming armenian, being settled by anatolians, or, hell, by thracians, illyrians or whatever the early albanians were?