I would liked to have known what they had planned as the larger arc for her. It seemed early on when she first appeared that she basically just wanted to squash Scorpius because his plans for how to handle the Scarrans ran politically opposite to hers.
Later on though, especially in PK wars, it seems like she's actually mostly fed up with the incompetence and weakness that she thinks has infected PK high command.
It's sort of weird to go from "we should make peace with them" to "we will choke the streets with our dead before we ever surrender". You know she means it to though because she tried to do the same thing at the end of the actual series herself. Once Crichton told the Scarrans the PKs didn't have wormhole weapons and she knew they'd invade she was ready to throw herself at Katratzi to try and presumably kill Staleek and friends.
I'd also like to know how that situation resolved itself without either her or Braca ending up dead as well. Did she forgive him? Doesn't seem very likely. We know she retained her position though, or even got promoted again, so it's not like anyone bought into the idea of her going crazy either.
Maybe Scorpius saved Braca's ass somehow, Grayza's not exactly a fan of his either though but maybe the grand chancellor was?