Was turkey a British colony

NO. Turkey has consistently been an independent country, first as the Ottoman Empire and then later as the Republic of Turkey. After World War I, Britain envisioned and intended to create a small sphere of influence in southeastern Turkey, but was effectively repulsed by the Ataturk's Turkish Army in the Turkish War of Independence.

However, Cyprus, which used to be an Ottoman territory and had a large Turkish minority, became a British Protectorate in 1878 and a British Colony in 1914. Cyprus became independent in 1960.