If this is truly the new scheme of focus b*tch #2, then I'm a tad disappointed. But I guess her thought process is most likely,
If 31st dies, King's favorite aka biggest threat is poof, gone. I can pressure the rest of the houses and if they try to investigate, I'm still the daughter of a DUKE. I win by pure status, I have the aristocratic faction by my side *yadda3x*, *bla3x* *insert haughty ojou laughter*