Billy's favourite nurse (5)
I believe the answer is:
nanny
This clue could be a double definition.
'billy's' is the first definition.
(thesaurus)
'favourite nurse' is the second definition.
'nanny' can be an answer for 'nurse' (synonyms). I am unsure of the 'favourite' bit.
Can you help me to learn more?
(Other definitions for nanny that I've seen before include "cares for child?" , "Posh child minder or female goat" , "Carer for children" , "Childminder - goat" , "Person minding another's child" .)