Analysis of information sources in references of the Wikipedia article "Cretan Muslims" in English language version.
The island in question [Crete] was home to Cretan Muslims, descendants of ethnic Greeks who had converted to Islam after the Ottoman conquest in the seventeenth century. Although the language of administration and prestige was Ottoman Turkish, Cretan Muslims used Greek to express their Bektashi Islamic sentiment. After all, Islam in Crete was profoundly influenced by the Bektahi Sufi Order. Although they identified as Greek Muslims, Christian Greeks described them as Turkocretans since they had "betrayed" the Greek Orthodox Church. Some Cretan Muslims reportedly described themselves as "Turco-Romnoi," which means "European Turks," treating the term "Turk" as synonymous with "Muslim," or "Turkish Greeks," namely, Muslim Greeks or Greek Muslims.
With the term "Cretan Turks" we refer to the descendants of Islamized Cretans during the occupation of the island of Crete by the Turks in 1669. A large number of Cretans (as it also happened generally in Greece) became Muslims in order to avoid the socioeconomic hardships of the Ottoman Occupation of Crete.
The Cretan "Turks" were not ethnically Turkish, or even Anatolian at all. They were Cretans whose ancestors had accepted Islam at some time after the Turkish conquest of the island in the middle of the seventeenth century.
the people known as the Cretan Turks—a Muslim people of Greek descent—ended up relocating, permanently, to Anatolia, Syria, Egypt, Libya and the Balkans [...] Though the island was home to both Christians and Muslims, both groups were of Greek origin.
The Cretan "Turks" were not ethnically Turkish, or even Anatolian at all. They were Cretans whose ancestors had accepted Islam at some time after the Turkish conquest of the island in the middle of the seventeenth century.