Terrible stigma surrounding British plays (7)
I believe the answer is:
gambits
'plays' is the definition.
(I know that gambit is a type of plays)
'terrible stigma surrounding british' is the wordplay.
'terrible' indicates anagramming the letters.
'surrounding' means one lot of letters goes inside another.
'british' becomes 'b' (abbreviation e.g. in BBC).
'stigma' anagrammed gives 'gamits'.
'gamits' enclosing 'b' is 'GAMBITS'.
(Other definitions for gambits that I've seen before include "Initial moves in a battle of wits" , "Opening moves" .)