My take:

If most of the players at the table limp most hands, I would either raise my TT or limp-reraise (if there are a couple of raise-capable players behind me - look for tells to your left here...). I would especially reraise after my limp was raised the minimum. The last thing TT wants is one of every overcard still in the hand. Make Ax, Kx, J8, and the rest of those weaklings fold or pay you to play, and find out how good the raisers hand really is. TT is a good hand on a table where 60% of the players limp in to see the flop!

When tighty calls your (re)raise, then you can think about slowing down. I'm still betting the flop, but when he calls me and I see the K on the turn, I'm putting the brakes on, as AK or Kxs are possibilities.

Sometimes you'll have to pay your opponents off. I think min raising with AA in LP is a bad strategy, and just calling with a flush draw on the board is even worse. I wouldn't feel like the guy outplayed me if I were you.