More properly known as the "Shiite Muslim". A member of the branch of Islam that regards Ali.
(Ali was a Muslim caliph. Upon his assassination, Islam was divided into the Sunni's and the Shiites.)
A lot of people tend to think of the word, "Shit" when they see this word. Actually, it's pronounced shee-ite, and has no relativity whatsoever to that word.
A Shite Muslim is properly known as a Shiite Muslim.