Passing through Amritsar, an Indian queen (4)
I believe the answer is:
rani
'queen' is the definition.
(historical term for a Hindu queen)
'passing through amritsar an indian' is the wordplay.
'passing through' indicates a hidden word.
'RANI' can be found hidden inside 'amritsar an indian'.
(Other definitions for rani that I've seen before include "Wife of a rajah" , "Indian queen" , "Raja's queen" , "Raja's wife" , "Member of royal family" .)