While most would offer that you can indeed put down sod well into November...December maybe....that escape lets the gardener decide if the weather makes it possible.
I don't know why you chose December to put down sod that surely would be met with freezing temperatures and probably and maybe a good depth of snow cover.
The new sod is definitely not going to be able to put down roots....the ground has made that impossible. And the chance that it could possibly be given water to assist rooting, has gone by the boards.

Again, people associate air temperature with ground --soil temperature. The sod hopefully will grow in the soil...so the temperature of that madium is what's important....not the ambient air temperature.
We don't rush out and begin spring planting if a January thaw comes --yet the air temperature during such a thaw might reach up to what we'd like to go out and sun ourselves. Air temperature has nothing to do with soil temperature except when it lingers enabling the ground temperature to be affected upwards.

Your sod cant go dormant, it needs roots to feed itself...and your roots are frozen.

Chances are you will need to replace the sod in the spring after you remove the dead sod that was affected by the low temperatures and snow.

Hey goren...you're wrong.

The new sod is super green and there's so much new growth, i really should cut it now. But, i'm going to wait until it gets about 6". Plus, we're having some early spring snow this weekend, which the lawn seems to thrive on.

I'd recommend late fall sodding for fescue (at least in St. Louis). I actually did it in late December. All of the moisture and snow we got this winter was great for it.

I only wish i had done my entire yard. I left one section with my existing grass (which was doing ok) to save a little money.

I layed sod yesterday in Michigan, watered it; and today it's snowing. I'll water again when temps allow and ground isn't frozen and report back. I chose this time because it's when things got finished. It's a new house and we have dogs and living with mud isn't an option. I think it will be the greenest lawn in the Spring.