Award winner is carrying Oscar shakily (8,5)
I believe the answer is:
victoria cross
'award' is the definition.
(Victoria Cross is an example)
'winner is carrying oscar shakily' is the wordplay.
'winner' becomes 'victor' ('victor' can be a synonym of 'winner'**).
'carrying' means one lot of letters goes inside another.
'shakily' is an anagram indicator.
'oscar' is an anagram of 'acros'.
'is' going around 'acros' is 'iacross'.
'victor'+'iacross'='VICTORIA CROSS'
(Other definitions for victoria cross that I've seen before include "VC in full" , "Highest British military decoration for gallantry" , "heroic achievement" , "epitome of bravery" , "Military medal" .)