The Minnesota Public Utilities Commission has offered a list of frequently asked questions regarding the Minnesota Cold Weather Rule.
Bottom line: the utilities company can still shut off your electricity if you don't contact them and set up some kind of payment plan.
There is even financial assistance available for those who qualify, so if you think you do please check them out.
Don't get stuck out in the cold this winter. I understand the state of the economy may get you down, but if you don't take the appropriate measures you can find yourself without anything to keep you warm.