Militant daughter implicated in racial unrest (7)
I believe the answer is:
radical
'militant' is the definition.
(I've seen this before)
'daughter implicated in racial unrest' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'implicated in' is an insertion indicator.
'unrest' indicates anagramming the letters.
'racial' with letters rearranged gives 'raical'.
'd' inserted into 'raical' is 'RADICAL'.
(Other definitions for radical that I've seen before include "Fundamental - thoroughgoing" , "Progressive; extreme" , "Drastic or thorough as changes may be" , "Sweeping - reformer" , "Deep-seated" .)