Crossword Genius

Brave to not open shop outside hotel in part of city (3,5)

Ross

I believe the answer is:

old delhi

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

'part of city' is the definition.
(part of Delhi)

'brave to not open shop outside hotel' is the wordplay.
I cannot really understand how this works, but
'not' could be 'o' (I've seen this in other clues) and 'o' is found within the answer.
'hotel' could be 'h' (phonetic alphabet) and 'h' is found in the answer.
'shop' could be 'deli' (delicatessen) and 'deli' is present in the remaining letters.
This may be the basis of the clue (or it may be nonsense).

'in' is the link.

Can you help me to learn more?

I've seen this clue in The Times.
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