Female heading to destination: Slough (4)
I believe the answer is:
shed
'slough' is the definition.
(both can mean to remove or lose)
'female heading to destination' is the wordplay.
'female' becomes 'she' ('she' refers to a woman).
'heading to' suggests taking the first letters (the head of the word).
The first letter of 'destination' is 'd'.
'she'+'d'='SHED'
(Other definitions for shed that I've seen before include "tools found here?" , "Slough - outbuilding" , "Garden store" , "something at the bottom of the garden?" , "storage building" .)