Bacchante's crazy about another woman (6)
I believe the answer is:
maenad
'bacchante's' is the definition.
(both could refer to a follower of Bacchus)
'crazy about another woman' is the wordplay.
'crazy' becomes 'mad' ('mad' can be a synonym of 'crazy').
'about' is an insertion indicator.
'another woman' becomes 'ena' (feminine given name. I am not sure about the 'another' bit.**).
'mad' enclosing 'ena' is 'MAENAD'.
(Other definitions for maenad that I've seen before include "Wild female follower of Dionysus" , "Da, name the female follower of Bacchus." , "Bacchante" , "A raging woman, once a follower or Dionysus" , "Female fan of Bacchus" .)