I think we can be pretty sure that Asveig was a powerful user of seidr in her own right and knew about odr. There are too many hints for it to be anything else. One, there's the amulet that she left you, which has runes even Blackhand can't decipher (though his memory is patchy). Two, what Sten told you about what happened after the "the manure incident": there was "a flash of light" and "the flapping of a wing", and the next day Sten found no signs of battle or even bodies. That sounds like powerful seidr to me. Three, the needlebinding. In fact, this makes me wonder if Asveig didn't want us to become a warrior partly because she knew about the Enemy and that we are in danger of getting the Enemy's attention onto us if we kept going on the path we were on. That may be a reach, though.
Given this new information about Asveig, should advance our plans to go to Vestfold? I'm quite sure we'll learn a lot about seidr/runes/the Enemy. We can catch up Aki too, ask him about whether he remembers what we told his soul about odr in Niflheim.