Turban a small cap or the green head wrap alone. In Sudan, large white headdresses connote high social status. In Pakistan the cap is called a topi. Women of Islam do not wear turbans, as it is considered part of a man's dress, while women do cover their hair as part of hijab. When the Jewish High Priest served in the Tabernacle and the Temple in Jerusalem, he wore a head covering called "mitznefet" מִצְנֶפֶת. This word has been translated as "mitre" (KJV) or "headdress". It was most likely a turban, as the word comes from a root meaning 'to wrap'.
Veil who are not cloistered but who work as teachers, nurses or in other "active" apostolates outside of a nunnery or monastery, some wear the veil, while some others have abolished the use of the veil, and a few never had a veil to start with, but used a bonnet-style headdress as in the case of St. Elizabeth Ann Seton. The fullest versions of the nun's veil cover the top of the head and flow down around and over the shoulders. In western Christianity, it does not wrap around the neck or face. In those orders that retain one, the starched