I've been thinking. At first I predicted that Korra would seemingly sacrifice herself to stop Kuvira, and Asami would say "It has been an honor, Avatar Korra." But given what Asami said about not imagining the thought of losing her and her father on the same day, some say her saying something like that would be unlikely. On the other hand, if someone did seemingly kill Korra, would Asami lose it to the point of being vengeful? I mean I can imagine such a scenario where a villain seemingly kills the Avatar:
(Asami picks up the villain and sets her electric gauntlet at the highest setting)
Villain: What are you going to do with me?
Asami: I'm going to fry your brain to oblivion!
Bolin: Asami, stop! We don't do that to our enemies!
Asami: (tears up) Speak for yourself!
Bolin: I'm trying to speak for Korra
So yeah, given what Asami said about the thought of losing Korra, I think this would be more or less how she'd react, wouldn't you say? Of course someone is going to stop her. After all, Bolin is the heart and conscience of Team Avatar.