Award goal -- that hurts! (5)
I believe the answer is:
endow
'award' is the definition.
(I've seen this before)
'goal that hurts' is the wordplay.
'goal' becomes 'end' ('end' can be a synonym of 'goal').
'that hurts' becomes 'ow'.
'end'+'ow'='ENDOW'
(Other definitions for endow that I've seen before include "Provide funds" , "Establish (university post) by giving funds" , "Bequeath or give an income or property to" , "Give funding to establish (something)" , "Provide with an income, say a college" .)