| I don't know what you held, but this was not a spot to bluff at the pot on the turn. The SS has 2 BB's left. In this situation, you're better off folding AA preflop if someone puts you all in.
The betting makes no sense either. You say you have T40, and the BB was 2. You then bet T10 on the turn, leaving you with T28. If you bet 15 on the river and are raised, you can only call with your T13. You can't reraise all in.
You said you thought you liked your chances of winning once you got into the money. You need to get there first, and with someone having only 2x left, you wait the 1-4 hands it takes for them to hopefully get knocked out. If they double or triple up, then you have to re-adjust.
I would probably try and check the hand down, or check-fold the turn, or maybe make a crying call on the river if the bet is small enough. | 
