Well, you didn't actually tell me, but that's splitting hairs. I don't think it's much of a rivalry. They consistently beat our asses.
They do and it sucks. Kentucky won a game in the fairly recent past. If they can do it again in 1-2 more tries, it will start it back up again. Just gotta keep chipping away at it.
You'll see a rivalry the likes of which UK-UL will never reach. If for any other reason than a lot more people care about UT than they do about UL.