I think that the size of the stacks and the position of the players could help figuring out if you could have found a fold there. For example, if the initial all in is in the UTG and their stack is very small for the table average and you are UTG+1 with a stack even smaller than theirs, it makes sense to fold, since a lot of people could call. If your stack is bigger, make a 3-bet and try to isolate the initial raser. If, in your case, you were in the SB and the player with JJ was in the BB, there was really not much you could have done.
Pocket TT is not the worst hand to go all in with. Sometimes you'll be flipping, sometimes you'll be dominating the other player and a few times you'll be dominated. Keep in mind that you lost, but you could've doubled up or, in this case, tripled up. Even Aces lose sometimes. Overall, I think you just got unlucky that someone else had a better hand.
