Forcefully shut (a door) (4)
I believe the answer is:
slam
'forcefully shut a door' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for slam that I've seen before include "Shut (door) with force" , "Criticise - bang - very good result at bridge" , "Severely criticise; shut (a door) forcefully" , "Report of forcefully closing" , "Shut violently" .)