Right to love the French part (4)
I believe the answer is:
role
'part' is the definition.
(eg a theatrical role)
'right to love the french' is the wordplay.
'right' becomes 'r' (common abbreviation).
'to love' becomes 'o' (love means zero in tennis).
'the french' becomes 'le' ('the' in French).
'r'+'o'+'le'='ROLE'
(Other definitions for role that I've seen before include "Actor's part" , "Impersonation" , "Part, portrayal" , "Duty" , "Part played (in life?)" .)