I agree with luckyginger, if he flops a set he must bet here, with the hearts out, and 2100 in the pot.
If the Villain is an aggressive player, I"d call, maybe he has Ax or AK, or less trying to pick up chips. Its only 5k into a 6k pot.
Folding would depend on how passive the Villian is, if hes super passive then must be on AQ,QxQh,set, I"d still probably struggle to fold though. If it was 5k all in into a 3k pot I"d be folding (assuming he was very passive).
Adilong what did you do in the end? Did you fold? How far was it into the tourney?