Kivith, she went through a Chaos Warp, which no faction really can detect(no instruments or magic to detect one of these warps have ever been used, because of Keith's relative obscurity; its only recently that he's released his complete control over them to allow them to start appearing randomly). On that note, Lauren is TECHNICALLY Human anyways, so he couldn't verify easily that she hadn't just been shipwrecked, considering the Chaos Warp is no longer there. She IS human, merely a human with more magic than others. And for the third and final note, 'Legion' is wrecking Hawk's stuff, which means he cant have taken time to find Lauren even in the case that she weren't the above, which she is.
Tl; dr?
He has no grounds to start wrecking her stuff, especially since she's only claiming a uninhabited island which she CANT leave from.