@Stern Algorithm A potentially villainous teacher eh? You're giving me some Soul Eater flashbacks here Stern.
Kind of the opposite, actually, while Medusa (who I assume you're referring to) is actively plotting and intending harm on her students, Catherine is 'burned out'. She's experienced evil, both regimented and subordinate (in her militant terrorist group) as well as chaotic and leading (as a crime lord), but neither zeal nor greed could give her a place she belonged. Catherine is a 'retired villain' who's resigned herself to defeat and is only really interested in the intricacies of young, developing minds, in a way, trying to find out where she went wrong from her students.