Sort of card introducing US city and Indian state capital (5)
I believe the answer is:
simla
'indian state capital' is the definition.
(capital of Himachal Pradesh in India)
'sort of card introducing us city' is the wordplay.
'sort of card' becomes 'sim' (as in a SIM card).
'introducing' means one lot of letters go next to another (some letters go before others).
'us city' becomes 'LA' (Los Angeles).
'sim'+'la'='SIMLA'
'and' acts as a link.
(Other definitions for simla that I've seen before include "Indian city" , "Very distressed" , "state capital" , "Former summer capital of British India" , "Summer capital of the British Raj in India" .)