Difficult part for Elizabeth Arden (4)
I believe the answer is:
hard
'difficult' is the definition.
(I know that difficult can be written as hard)
'part for elizabeth arden' is the wordplay.
'part' says the answer is hidden in the clue.
'HARD' is hidden in the letters of 'for elizabeth arden'.
(Other definitions for hard that I've seen before include "Tough - difficult" , "Unyielding" , "impenetrable" , "Firm, rigid, road leading to foreshore" , "Strenuous" .)