Asian having leader demoted on island country (5)

I believe the answer is:

haiti

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

'island country' is the definition.
(I've seen this in another clue)

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for haiti that I've seen before include "Island of West Indies" , "West Indies republic" , "West Indian country, capital Port-au-Prince" , "Caribbean isle" , "West Indian republic" .)

I've seen this clue in The Independent.

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.