Disposed of hut (4)
I believe the answer is:
shed
I believe this clue is a double definition.
'disposed of' is the first definition.
(shed can mean to discard or dispose of)
'hut' is the second definition.
(hut in a garden)
(Other definitions for shed that I've seen before include "shelter" , "Slough - outbuilding" , "Kind of hut - discard it" , "Outhouse for storing garden tools etc" , "One-storeyed outbuilding" .)