Update:
The southern valley is now under a marginal risk for Strong to Severe thunderstorms. Scattered damaging winds up to 60 mph and flooding will be the main concerns. An isolated Tornado or 2 can't be ruled out, as wind shear is pretty strong.
As for the rest of East Tennessee, the threat for Severe Thunderstorms will be slim to none. These areas could still see an isolated damaging wind gust with the strongest thunderstorms. Flooding threat will also be more localized in these areas.