Humble of French chap accepting English (6)
I believe the answer is:
demean
'humble' is the definition.
(demeaning is a kind of humbling)
'of french chap accepting english' is the wordplay.
'of french' becomes 'de' ('of' in French).
'chap' becomes 'Man' (chap can mean a man).
'accepting' means one lot of letters goes inside another.
'english' becomes 'E' (abbreviation).
'man' enclosing 'e' is 'mean'.
'de'+'mean'='DEMEAN'
(Other definitions for demean that I've seen before include "Debase" , "Stoop" , "Cause (someone) to suffer loss of dignity" , "Cause (someone) to lose dignity" , "Lower in reputation, humiliate" .)