Woman dropped daughter off (3)
I believe the answer is:
she
'woman' is the definition.
'dropped daughter off' is the wordplay.
'dropped' becomes 'shed' (shedding is a kind of dropping).
'daughter' becomes 'd'.
'off' suggests deleting specific letters.
'shed' with 'd' removed is 'SHE'.
(Other definitions for she that I've seen before include "H. Rider Haggard novel" , "Rider's novel" , "Book" , "Female pronoun" , "The one who must be obeyed" .)