The typo was unintended but that's it, they fought until the end but the norse gods didn't recognize their efforts. So Kaija wants to rescue their honor by killing elves during patrols and collecting inteligence under cover in nightclubs.
I don't think that she hates the Elves, and that is the point, they didn't fight there, they abandoned the Finns and brought dishonor to their Clan.
I just hope that we find out what happend there through out the story.
Kaija wants to redeem her clan by protecting the humankind.
like the Einherjar would do in Ragnarok.