Hasten to shut out the French (6)
I believe the answer is:
hustle
'hasten' is the definition.
(thesaurus)
'shut out the french' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'the french' becomes 'le' ('the' in French).
'shut' anagrammed gives 'hust'.
'hust'+'le'='HUSTLE'
'to' acts as a link.
(Other definitions for hustle that I've seen before include "Put pressure on - sleuth (anag)" , "Hurry (maybe dishonestly)" , "Jostle, push around." , "Jostle; hurry; swindle" , "Move furtively - earn forcefully" .)