Push to shut out the French (6)
I believe the answer is:
hustle
'push' is the definition.
(thesaurus)
'shut out the french' is the wordplay.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'the french' becomes 'le' ('the' in French).
'shut' with letters rearranged gives 'hust'.
'hust'+'le'='HUSTLE'
'to' acts as a link.
(Other definitions for hustle that I've seen before include "Jostle, sell aggressively" , "Push roughly, jostle" , "Move furtively - earn forcefully" , "Jostle or push together" , "Put pressure on - sleuth (anag)" .)