Not having British sausages makes one see red (6)
I believe the answer is:
angers
'makes one see red' is the definition.
(I've seen this in another clue)
'not having british sausages' is the wordplay.
'not having' is a deletion indicator.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'sausages' becomes 'bangers' (banger can mean a sausage).
'bangers' with 'b' removed is 'ANGERS'.
(Other definitions for angers that I've seen before include "gets hot" , "Maine city" , "Winds up" , "Maddens" , "Infuriates" .)