There are Turkish Cypriots and there are Greek Cypriots.
Most Turkish Cypriots began coming to Cyprus
in 1571; thus, it is not justified to chastice them for using the term 'Cypriot' when they have been on the island for over 400 years. It is true that post-1974 Turks
(Anatolian settlers) are around, but it would be ignorant to say that authentic Turkish Cypriots have 'ceased to exist' because of this. Anyway, many Turks and Turkish Cypriots have intermarried as well, and their children were born on Cyprus, making them just as Cypriot as anyone else in my book.
Greek Cyprus's population isn't pure Greek Cypriot either. Saying that a third of the island does not exist will not solve anything.
It is also impossible to ignore that Cypriot culture has been heavily influenced by the Ottoman
era. Thus, the 'Cypriots' mentioned in the definitions above or below (Greek and Turk alike) indulge themselves on Turkish coffee, eat dolma (dolmades), meza (mezades), etc. The only major difference between Greek and Turkish Cypriots is, in fact, their respective religions and allegances to mother countries such as Greece and Turkey.
I am an authentic Turkish Cypriot and when I hear a Greek Cypriot say I do not exist I am filled with inmeasurable pride for who I am. You can say I don't exist, but you can't take that pride away.