Girl from Bethlehem market (4)
I believe the answer is:
emma
'girl' is the definition.
(girl's name)
'from bethlehem market' is the wordplay.
'from' indicates the answer is hidden within the clue.
'EMMA' can be found hidden inside 'bethlehem market'.
(Other definitions for emma that I've seen before include "young woman in novel" , "Novel by June Austen" , "It's a girl - ask me ma" , "J Austen novel" , "companion for Pip" .)