Not knowing of a conflict within a Parisienne (7)
I believe the answer is:
unaware
'not knowing' is the definition.
(I've seen this before)
'a conflict within a parisienne' is the wordplay.
'conflict' becomes 'war' (war is a kind of conflict).
'within' means one lot of letters goes inside another.
'a parisienne' becomes 'une'.
'a'+'war'='awar'
'awar' going into 'une' is 'UNAWARE'.
'of' is the link.
(Other definitions for unaware that I've seen before include "Without knowledge" , "Lacking knowledge (of a situation or fact)" , "Not knowing (of a situation or fact)" , "Ignorant - unenlightened" , "Not informed - ignorant (of)" .)