There are many female mainland Turks in TRNC who wear just a headscarf to represent their belief. There are also a lesser amount who wear the full cover-up and I have seen these poor individuals suffeing in the summer heat while their husbands wear slacks and a short sleeved shirt. I have commented on this to TC friends who just shake their heads in bewilderment. Turkish Cypriots are nowhere as devout (if at all) as mainland Turks and are mostly very western in outlook and fashion.
Turkish Cypriots are usually muslims but this is mostly just in name rather than conviction.