Ignorant French one accepts a conflict (7)
I believe the answer is:
unaware
'ignorant' is the definition.
(I've seen this before)
'french one accepts a conflict' is the wordplay.
'french one' becomes 'une' ('one' in French).
'accepts' is an insertion indicator.
'conflict' becomes 'war' (war is a kind of conflict).
'a'+'war'='awar'
'une' going around 'awar' is 'UNAWARE'.
(Other definitions for unaware that I've seen before include "Ignorant - unenlightened" , "Totally ignorant" , "Ignorant - unacquainted" , "Not cognisant" , "Uninformed" .)