The most common and most likely answer to this crossword clue is the 6 letter word MYSORE
I've seen this crossword clue in The Guardian
M
Y
S
O
R
E
More clues leading to the result MYSORE
- Exclamation of surprise coming to distressed Indian City
- This setter’s wounded in Indian city
- Indian city ruddy uplifting, setter maintains
- Indian city — that pains me?
- Somewhere in India that is a source of irritation for me
- Gracious, very, about city in India
- What hurts me in Indian city
- First person to embrace rosy revolutionary in an Indian city
- Many outsiders cross Indian city
- Vulcan's angry with this town
Buddy explains!

The straight part
We know that "Indian city" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case indian city = mysore.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.