her nearly killing her father and Greed 100% can see the POS for who she truly is (he spent time with MC and knows her character at this point, he has no reason to trust one random woman's words) and her BS and chocking the life out of her. Sadly, both partners end up saving said antagonists. Greed doesn't want to bloody her hands directly and MC stops Greed later on and states that she is still her sister (I can see everyone being disappointed with this but eh). Again, both father and daughter are spared but are sent to prison alongside the corrupt royal family and nobility where in a later plot would scheme a rebellion and fail thanks to the support of the (moron ex fiancee) first prince who switched sides with Greed and co.
The ones we should be hating first though are the nobles she'll be having returned who'll attempt to scheme against her when Greed temporarily leaves (if I remember the spoilers, its as what MC fears, some nobles don't think a woman should take charge and since Greed knows next to nothing in politics, they were aiming for a puppet king? I barely remember it but knowing the series, it'll end well.