It works out as Loki is gone several hours. He may be stripped of powers and mortal but he still weathers the cold extremely well. The hunt for wood took him a distance. A living tree would make poor fire wood to he searched out dead and dying. He found it strangely soothing, whether he admits to the sentiment or not, it reminds him of times spent hunting as boy.

He only felled mid-size trees he could move on his own. He drags two back to the cabin before setting about chopping them into usable chunks. They'll still need more. It's only when he realizes he's exhausted does he stop, return inside and plunk an arm full of wood on the floor.