Stigma — a mark that hurt blustery old coward (10)
I believe the answer is:
scaramouch
'blustery old coward' is the definition.
(I've seen this before)
'stigma a mark that hurt' is the wordplay.
'stigma' becomes 'scar' (I've seen this in another clue).
'mark' becomes 'm'.
'that hurt' becomes 'ouch' (I've seen this before).
'scar'+'a'+'m'+'ouch'='SCARAMOUCH'
(Other definitions for scaramouch that I've seen before include "braggart" , "blustery old coward" , "Character who boasted" , "Buffoon" , "Boastful coward in drama" .)