Female animal making children's nurse leave with a toddler, initially (5,4)
I believe the answer is:
nanny goat
'female animal' is the definition.
(I've seen this before)
'children's nurse leave with a toddler initially' is the wordplay.
'children's nurse' becomes 'nanny' (I've seen this before).
'leave' becomes 'go' (to go is to depart or leave).
'with' is a charade indicator (letters next to each other).
'initially' suggests taking the first letters.
The first letter of 'toddler' is 't'.
'nanny'+'go'+'a'+'t'='NANNY-GOAT'
'making' is the link.
(Other definitions for nanny goat that I've seen before include "milk producer" , "Billy's partner?" , "Female farm animal" , "Butter" .)