The woman had been dropped (4)
I believe the answer is:
shed
'dropped' is the definition.
(shedding is a kind of dropping)
'the woman had' is the wordplay.
'the woman' becomes 'she' (I've seen this before).
'had' becomes 'd' (I've seen this in other clues).
'she'+'d'='SHED'
'been' acts as a link.
This may not be correct. It may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for shed that I've seen before include "Take off in hut?" , "Outhouse -- cast" , "Outbuilding with a single story" , "Shack" , "Throw off; building" .)