If he tried to run, she would follow even if she could not catch him. Basically when an alpha tells a pack member to do something, nothing else matters until that task is complete. I see her wolf claiming him when she has him in a position to kill him, but it might turn out completely different than that! ^.^
"We could hide high up in the mountains, create a little village and write off our existence. The larger our pack, the stronger we are. Besides, how could we pick and choose who to accept? A checklist? Characteristics?" She would see it has wanting to help those who do not have a pack.