sheep to the rescue!
I had to divert the flow. I tried using the axe and shovel but the ground was frozen and it would take forever. I realized I needed sandbags and some sort of plug. I didn't have either. Instead I used pieces of firewood to make a dam, and then watched the water flow slow down (a good step). Hmm...what would work as a plug that could fill that space, slow down (but not stop) the natural drainage), and me flexible enough to fit that wonky area?
I grabbed a handful of raw sheep's wool and filled in the hole. It did the trick great. The stream has stopped. The mudroom is drying out. And the cat isn't swimming. Sheep to the rescue!
UPDATE!The fleece worked for about half an hour, but it was a finger in the dam. I needed to line the entire water entry-point with fleece (which you can see in the photo) and then run to the hardware store to buy hose and clamps and run a tube from the pipe spewing water inside to outside the house. It isn't pretty, but I did it. No need to call in rescue rangers! It just took sheep, hose, ducttape, and then more sheep!
P.S. Sorry Wool Workshop friends, this farm will not be covered in snow. It will not be pretty. It will be slush and mud and pools of standing water and wet sheep. But I promise we'll be comfy inside, thanks to the wool.