Shameless British demolish entrance to Nagpur (6)
I believe the answer is:
brazen
'shameless' is the definition.
(I've seen this in another clue)
'british demolish entrance to nagpur' is the wordplay.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'demolish' becomes 'raze' (I've seen this before).
'entrance to' suggests taking the first letters.
The initial letter of 'nagpur' is 'n'.
'b'+'raze'+'n'='BRAZEN'
(Other definitions for brazen that I've seen before include "Shameless (impudence)" , "Shameless and bold - resembling brass" , "Unashamedly flagrant" , "Brassy and impudent." , "Bold-faced" .)