Female to produce eggs around bottom of shed (4)
I believe the answer is:
lady
'female' is the definition.
(lady is a kind of female)
'produce eggs around bottom of shed' is the wordplay.
'produce eggs' becomes 'lay' (I've seen this before).
'around' means one lot of letters goes inside another.
'bottom of' says to take the final letters.
The last letter of 'shed' is 'd'.
'lay' placed around 'd' is 'LADY'.
'to' is the link.
(Other definitions for lady that I've seen before include "High-class woman" , "mature woman" , "Wife of gentleman" , "Gentlewoman" , "Female peer" .)