Divine figure with some authority (4)
I believe the answer is:
thor
'divine figure' is the definition.
(I've seen this before)
'with some authority' is the wordplay.
'with' indicates the answer is hidden within the clue.
'THOR' is hidden within 'some authority'.
(Other definitions for thor that I've seen before include "Divine figure" , "Norse deity" , "can be classed as immortal" , "Norse hammer-wielding god" , "One of the Norse gods" .)