If not upset, BBC presenter loses face in dodgy poll here (6,7)
I believe the answer is:
rotten borough
'if not upset bbc presenter loses face in dodgy poll here' is the definition.
The answer is a location as well as being a singular noun. This is suggested by the definition.
This is all the clue.
Can you help me to learn more?
(Other definitions for rotten borough that I've seen before include "Corrupt constituency in former times" , "English parliamentary constituency of a kind abolished by the 1832 Reform Act" , "Tiny-electorate seat (hist.)" , "old constituency" .)