Governess has shot at making butter, possibly (5,4)
I believe the answer is:
nanny goat
'butter possibly' is the definition.
(something which 'butts')
'governess has shot at' is the wordplay.
'governess' becomes 'nanny'.
'has' says to put letters next to each other.
'shot' becomes 'go' (I've seen this in other clues**).
'nanny'+'go'+'at'='NANNY-GOAT'
'making' is the link.
(Other definitions for nanny goat that I've seen before include "milk producer" , "Butter" , "Female farm animal" , "Billy's partner?" .)