Inconvenience for hot fool with the French (6)
I believe the answer is:
hassle
'inconvenience' is the definition.
(I have seen 'Irritating inconvenience ' mean 'hassle' so perhaps 'inconvenience' could also mean 'hassle')
'hot fool with the french' is the wordplay.
'hot' becomes 'h' (abbreviation eg on taps).
'fool' becomes 'ass' (both can mean a stupid person).
'with' is a charade indicator (letters next to each other).
'the french' becomes 'le' ('the' in French).
'h'+'ass'+'le'='HASSLE'
'for' acts as a link.
(Other definitions for hassle that I've seen before include "Annoying trouble" , "Pester or annoy" , "Bug" , "Struggle" , "Nuisance, bother" .)