Completely unconscious privilege (8)
I believe the answer is:
outright
'completely' is the definition.
(outright means completely or totally)
'unconscious privilege' is the wordplay.
'unconscious' becomes 'out' (similar in meaning).
'privilege' becomes 'right' (I've seen this in another clue).
'out'+'right'='OUTRIGHT'
(Other definitions for outright that I've seen before include "Total" , "straight away" , "without qualifications" , "Absolute - utter" , "Altogether; openly" .)