Hate an eccentric goddess (6)
I believe the answer is:
athena
'goddess' is the definition.
(I've seen this before)
'hate an eccentric' is the wordplay.
'eccentric' indicates anagramming the letters.
'hate'+'an'='hatean'
'hatean' anagrammed gives 'ATHENA'.
(Other definitions for athena that I've seen before include "Greek goddess of wisdom etc." , "One-time goddess" , "Greek goddess of a capital city" , "wise but fierce goddess" .)