Begin with the French celebrity (7)
I believe the answer is:
starlet
'celebrity' is the definition.
(I have seen 'young celebrity' mean 'starlet' so perhaps 'celebrity' could also mean 'starlet')
'begin with the french' is the wordplay.
'begin' becomes 'start' (synonyms).
'with' indicates putting letters inside.
'the french' becomes 'le' ('the' in French).
'start' enclosing 'le' is 'STARLET'.
(Other definitions for starlet that I've seen before include "Young film actress with a future?" , "Promising young film actress" , "young celebrity" .)