"Aw fuck." Logan grabbed for the rabbit. It was too close to Jessica to risk clawing it off of her unless he really had to. Under 'normal' circumstances he knew she could handle it, but if she was new here, then... Aw fuck, he thought that new person on the network looked familiar.
Anyway, yeah, she couldn't survive his claws right now.
He managed to grab it by the ears, then popped one claw into the back of its head. Quick and painless. At least for the rabbit.