Hurried back up to the shed (6)
I believe the answer is:
pushed
'hurried' is the definition.
(thesaurus)
'back up to the shed' is the wordplay.
'back' shows that the letters should be reversed in order.
'to' is a charade indicator (letters next to each other).
'up' back-to-front is 'pu'.
'pu'+'shed'='PUSHED'
(Other definitions for pushed that I've seen before include "Shoved" , "Drove forward; short of money" .)