Push or Fold?

[iag]

***** Hand History for Game 4925165452 *****
0/0 Tourney Texas Hold'em Game Table (NL) (Tournament 27229698) - Fri Aug 11 12:02:11 EDT 2006
Table Table 111865 (Real Money) -- Seat 8 is the button
Total number of players : 3
Seat 1: Tornet (4620)
Seat 2: Nemesis28 (11896)
Seat 8: Hero(3484)
Tornet posts small blind (300)
Nemesis28 posts big blind (600)
** Dealing down cards **
Dealt to Hero [ 6d, Kd ]
Hero raises (3484) to 3484
Hero is all-In.
Tornet calls (3184)
Nemesis28 folds.
Creating Main Pot with $7568 with pokerwhiz123
** Dealing Flop ** : [ As, 9s, 3s ]
** Dealing Turn ** : [ 8c ]
** Dealing River ** : [ 6s ]
** Summary **
Main Pot: 7568 |
Board: [ As 9s 3s 8c 6s ]

Tornet balance 8704, bet 3484, collected 7568, net +4084 [ Kh Ad ] [ a pair of aces -- Ad,As,Kh,9s,8c ]
Nemesis28 balance 11296, lost 600 (folded)
Hero balance 0, lost 3484 [ 6d Kd ] [ a pair of sixes -- As,Kd,9s,6d,6s ]

I felt I had to make a move here.