Kor I think intends to eventually merge with retribution to form Justice. The overall theme of the series being "You cannot ignore Odium, but you can Cultivate it with Honor to create Justice."
This requires Honor-kid be able to also spend some time growing perspectives. So that the intent isn't as biased, which is why she's left it alone for now and fleed.
With a lot of the second arc being about the difference between justice and vengeance. And Jasnah being a critical component in that given her recent struggle with her own moral views on justice. Most likely as the shard bearer. Or perhaps the honor-kid taking over entirely once it develops better empathy.
This supported also by the order closest to her, Edgedancers, largely being about social justice.
