At this point, I think it looks like more a heavy rain event for East Tennessee. I guess it can at least wash the salt off the roads.
Both the ECMWF and GFS show ridging increasing across Florida and the coastal SE CONUS. This places us in deep southwest flow with increasing chances for rain. This type of setup usually favors warmer weather across the Southeast with the colder air moving southward across the Great Plains and Mid-Mississippi Valley. There will be a band of snow, and probably a good ice storm, on the cold side of this surface low, but I think it probably doesn't bring cold air this far enough southeast into East Tennessee with the ridging. Parts of West or Middle Tennessee would have better chances of seeing some wintry weather in this pattern. In these setups, shallow Arctic air also has a difficult making it east of the Cumberland Plateau into East Tennessee.
It's still nearly a week out, so it's something to watch. If that ridge around Florida is weaker or shifts a little further east, maybe the colder air can make it into our area. Just think it's more of a heavy rain pattern for East Tennessee as things stand right now.
Edit: I sent this and then WPC posted the following image which lines up with my thoughts on what is most probable at this point.