Treat her like a normal Celeboodle, a single-target enemy with high damage and mediocre health. She is a little bit annoying because her attack increases by 100% after reaching 75% HP and if she hits any of your Ubers, Bahamut or Valkyrie, they will probably get knocked back and killed instantly. This is why you must keep track of your frontline meatshields when she pairs up with strong, fast attacking area-attacking enemies (such as Sciscoroo), as they allow her to give some painful kicks on your stronger units. She gives quite a lot of money when defeated compared to most other non-boss Alien enemies.
Though later on, she becomes a weaker than Celeboodle in nearly every way, since slower speed, half the health and twice the amount of knockbacks her traitless self has mean she's much less likely to land hits to your units overall, as well as giving a larger reward when killed. Even then the damage difference isn't really a threat (strenghened Mistress Celeboodle deals 1.5x the damage Celeboodle does).
Due to her number of knockbacks, this unit can be kept at bay with Long Distance Cats, waves or surges..
Later on, the use of units who get double bounty is highly recommended due to the money drop of this enemy.