Crossword Genius

Eastern ruler said to flourish (6)

Ross

I believe the answer is:

sheikh

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'eastern ruler' is the definition.
'sheikh' can be an answer for 'ruler' (sheikh is a kind of ruler). I am not certain of the 'eastern' bit.

I don't understand the remainder of the clue.

Can you help me to learn more?

(Other definitions for sheikh that I've seen before include "Leader of an Arab family" , "Broadcast upset" , "Head of Arab tribe, village etc" , "Leader of an Arab tribe, a Muslim chief" , "Weapons maker" .)

I've seen this clue in The Times.
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