Prosecute a woman (3)
I believe the answer is:
sue
This clue is a double definition.
'prosecute' is the first definition.
(I've seen this before)
'a woman' is the second definition.
(woman's name)
(Other definitions for sue that I've seen before include "Proceed legally against (someone)" , "Entreat; girl's name (dim.)" , "Start proceedings against (someone)" , "Apply" , "Take a casa against (3)" .)