Annoyed exposed bears run (6)
I believe the answer is:
narked
'annoyed' is the definition.
('nark' can be a synonym of 'annoy')
'exposed bears run' is the wordplay.
'exposed' becomes 'naked' (exposed can mean undressed).
'bears' indicates putting letters inside.
'run' becomes 'r' (cricket abbreviation).
'naked' placed around 'r' is 'NARKED'.
(Other definitions for narked that I've seen before include "Annoyed - upset - irritated" , "Angry" , "Annoyed (informal)" , "'Vexed, riled (6)'" , "Cross" .)