Question a graduate at a Middle Eastern port (5)

I believe the answer is:

aqaba

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

'middle eastern port' is the definition.
'aqaba' can be an answer for 'port' (I've seen this before). I am unsure of the 'middle eastern' bit.

'question a graduate at a' is the wordplay.
'question' becomes 'q'.
'graduate' becomes 'BA' (someone with a Bachelor of Arts degree).
'at' is a charade indicator (letters next to each other) (I've seen this in other clues).
'q'+'a'+'ba'='qaba'
'qaba' put after 'a' is 'AQABA'.

Can you help me to learn more?

(Other definitions for aqaba that I've seen before include "Asian port" , "Jordanian port" , "Gulf in Red Sea" , "city" , "Part of Jordan" .)

I've seen this clue in The Times.

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