Woman taken in by bad element (5)
I believe the answer is:
adele
'woman' is the definition.
'in by bad element' is the wordplay.
'in' indicates a hidden word.
'ADELE' is hidden in the letters of 'by bad element'.
'taken' acts as a link.
(Other definitions for adele that I've seen before include "Singer with albums titled 19, 21 and 25" , "Popular female singer" , "Female singer from London" , "Performer" , "girl" .)