Yeah, I really don't think Karolina is the type to leave Xavin taking responsibility for Karolina's "crimes" -- realistically, given her character, she would have left to address this a long, long, time ago.
In a perfect world, I'd have Illyana be the one to teleport them there and help them resolve the issue -- if I still wrote "fanfic" I'd be all over it, but I really have quite a few of my own LGBT characters (Skye, Niyasa, Milton, Indigo, Sylvio, Monet & Renoir, Vhei, Minal, Solace, Karina, Christine) that I need to tend to first...
...but I'd be 100% down to write a one-shot resolution of this for Marvel if the opportunity ever arose.
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"In Runaways's "Dead Wrong" story arc, a group of surviving Majesdanians arrive to arrest Karolina. After they repeatedly attack the Runaways, Xavin realizes that the aliens won't stop until they get Karolina. Karolina apparently leaves the group with the Majesdanians, but the Runaways are later shocked to find the real Karolina knocked out. Xavin shape-shifted into Karolina's form and took her place, to take all the punishment for their species' war. Kissing Karolina, Xavin whispers her love and departs the group."