When I was engaged to Milan, I decided to ask Branekka to become my advisor - a last ditch effort, since I thought her hatred of him would cause me to be rejected. She didn't seem to have any problems with it, though. I can definitely see her overlooking her grudge against him in pursuit of power, but it could be neat if being engaged to him caused a snarky comment from her (maybe about trying to use her role as an advisor to get Zorana better taste in partners?)
Also, when we give our final speech right before the election, I wished there was an option to test some of the physical stats. I feel like having a grandmaster Military stat + good piloting could lead into a good argument of "you should vote for me because I can rule with force".