Norse god with some authority (4)
I believe the answer is:
thor
'norse god' is the definition.
(I know that Thor is a norse god)
'with some authority' is the wordplay.
'with' indicates the answer is hidden within the clue.
'THOR' is hidden in the letters of 'some authority'.
(Other definitions for thor that I've seen before include "Thunderous god" , "Norse god of thunder - a weekday is named after him" , "Imitative artistic work" , "can be classed as immortal" , "Norse god for whom Thursday is named" .)