Nanny obtained answer that's included (4)
I believe the answer is:
goat
'nanny' is the definition.
(nanny is a female goat)
'obtained answer that's included' is the wordplay.
'obtained' becomes 'got' ('get' can be a synonym of 'obtain').
'answer' becomes 'a' (abbreviation eg in Q and A).
'that's included' indicates putting letters inside.
'got' going around 'a' is 'GOAT'.
(Other definitions for goat that I've seen before include "lecher" , "heavenly sign" , "Billy - nanny" , "foolish person" , "lecherous sort" .)