Hothead did reveal being drunk (9)
I believe the answer is:
daredevil
'hothead' is the definition.
(I know that hothead can be written as daredevil)
'did reveal being drunk' is the wordplay.
'being drunk' is an anagram indicator.
'did'+'reveal'='didreveal'
'didreveal' is an anagram of 'DAREDEVIL'.
(Other definitions for daredevil that I've seen before include "Someone who enjoys being reckless" , "Seeker after danger" , "Intrepid" , "Reckless showoff" , "One who enjoys dangerous activities" .)