Muslim ruler in Iraqi city having a change of heart (5)

I believe the answer is:

mogul

I'm a little stuck... Click here to teach me more about this clue!

'muslim ruler' is the definition.
'mogul' can be an answer for 'ruler' (mogul is a kind of ruler). I am not sure about the 'muslim' bit.

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for mogul that I've seen before include "Powerful businessman" , "Magnate (from India?)" , "Magnate; mound of hard snow on a ski slope" , "Tycoon -- ski slope mound" , "big shot" .)

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.