Can't let it go

I know what I'm up against on the flop.

PokerStars Pot-Limit Omaha, $0.10 BB (9 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

UTG+1 ($9.85)
MP1 ($11.05)
MP2 ($8)
Hero (MP3) ($12.70)
CO ($8.30)
Button ($8.40)
SB ($9.70)
BB ($0.75)
UTG ($7.85)

Preflop: Hero is MP3 with 8, Q, 9, A

1 fold, UTG+1 calls $0.10, 2 folds, Hero calls $0.10, 1 fold, Button calls $0.10, SB calls $0.05, BB checks

Flop: ($0.50) J, Q, 6 (5 players)

SB checks, BB checks, UTG+1 bets $0.30, Hero calls $0.30, Button raises to $1.70, 3 folds, Hero calls $1.40

Turn: ($4.20) 5 (2 players)

Hero checks, Button bets $4, Hero calls $4

River: ($12.20) 9 (2 players)

Hero checks, Button checks

Total pot: $12.20 | Rake: $0.60

Results:

Button had K, J, J, 9 (three of a kind, Jacks).

Hero had 8, Q, 9, A (two pair, Queens and nines).

Outcome: Button won $11.60

I'm a 2:1 dog on the flop, and a 3:1 dog on the turn, which I find rather surprising. I knew I was up against a set, yet I had seven diamonds, three sevens and three tens as outs. 13 outs should be enough to call, right? The answer is no, 13 outs aren't nearly enough. The only nut draw I had was to the flush, and if I hit it, I'm not getting paid enough even if he does call with his remaining stack. The sevens were good as a gut shot but the double gut if the ten hit is not to the nuts with the JQ on the flop. It's a clear fold on the turn.