Dictator's a pure and simple ruler in the Gulf (5)
I believe the answer is:
ameer
'ruler in the gulf' is the definition.
(several Gulf rulers are titled emir or ameer)
I don't understand how the remainder of the clue works.
(Other definitions for ameer that I've seen before include "Former ruler's title in Afghanistan" , "Asian dignitary" , "Muslim prince (alt.spelling)" , "foreign ruler" , "Muslim prince's title" .)