Wronged wife hides demon admirer, but not completely (9)
I believe the answer is:
desdemona
'wronged wife' is the definition.
(I've seen this before)
'hides demon admirer but not completely' is the wordplay.
'not completely' says the answer is hidden in the clue.
'DESDEMONA' is hidden within 'hides demon admirer but'.
(Other definitions for desdemona that I've seen before include "wronged wife" , "She was killed by Othello" , "Wife of Othello (Shak.)" , "Othello's victim" , "Female traduced by ancient" .)