Darling of Los Angeles doctor and family (7)
I believe the answer is:
lambkin
'darling' is the definition.
(thesaurus)
'los angeles doctor and family' is the wordplay.
'los angeles' becomes 'la'.
'doctor' becomes 'mb' (Bachelor of Medicine, Medicinae Baccalaureus).
'and' says to put letters next to each other.
'family' becomes 'kin' ('kin' can be a synonym of 'family').
'la'+'mb'+'kin'='LAMBKIN'
'of' acts as a link.
(Other definitions for lambkin that I've seen before include "Ducks" , "Small woolly jumper" , "cute infant" , "Little creature" , "Little offspring of sheep" .)