Of course it is Tennessee. We may dislike LSU here recently because of the whole Coach Saban/LSU fans vitriol towards us, but that does not imply the stratification of a new #2 rival. UT is and has always been our #2 rival.
Funny thing is, UT considers us their #1 rival. So does the barn, so does LSU, so does MSU.
When you are the most storied football team in the land you have alot of people shooting at you.