Oblivious, we run AA poorly (7)
I believe the answer is:
unaware
'oblivious' is the definition.
(similar in meaning)
'we run aa poorly' is the wordplay.
'poorly' indicates anagramming the letters.
'we'+'run'+'aa'='werunaa'
'werunaa' is an anagram of 'UNAWARE'.
(Other definitions for unaware that I've seen before include "Innocent" , "Ignorant - unconscious" , "Uninformed" , "Nescient" , "Ignorant - unacquainted" .)