Queen Catherine somewhat stuck up, arrogant (4)
I believe the answer is:
parr
'queen catherine' is the definition.
(Catherine Parr, wife of Henry VIII)
'somewhat stuck up arrogant' is the wordplay.
'somewhat' indicates the answer is hidden within the clue.
'PARR' is hidden in the letters of 'stuck up arrogant'.
(Other definitions for parr that I've seen before include "Katherine --, last wife of Henry VIII" , "survivor of the decapitator?" , "Wife who survived" , "Young salmon - wife of Henry VIII" , "Henry's sixth (his third 7!)" .)