Hey, that looks like one I just killed experimenting on it!
Juniperus procumbens is native to the southern subtropical regions of Japan. As such they have adapted to be able to go without a dormancy period, though they are often healthier when they can sleep for winter.
That said, find the sunniest window in your house, and get a good grow light to put above it, and it should be ok until you thaw out.
DO NOT REPOT UNTIL EARLY SPRING.
Pretty sure this and an unaccounted for heater vent is what just killed mine. Dead in record time for me too. Less than a month. That and it was in dreadful condition and terribly mistreated when I got it.
Repotting in late summer for these is second best. Leave it at least a month or so for the roots to recover before the frost start.
Chopstick trick
Stab a wooden/bamboo chopstick into the soil all the way to the bottom of the pot as close to under the trunk as you can safely manage. Use it as a dipstick to check moisture content in the soil. Water thoroughly every time, then don't water again until the stick is ALL BUT dry.