$2 NLHE Full Ring: Drawing to the nuts, bad shove?

[Z_T]

Winning Poker Network (Yatahay) - $0.02 NL - Holdem - 8 players
Hand converted by PokerTracker 4

SB: $1.00 (VPIP: 23.08, PFR: 7.69, 3Bet Preflop: 7.69, hands: 26)
BB: $0.42 (VPIP: 18.52, PFR: 11.54, 3Bet Preflop: 0.00, Hands: 27)
UTG: $0.53 (VPIP: 18.52, PFR: 3.85, 3Bet Preflop: 0.00, Hands: 27)
UTG+1: $0.90 (VPIP: 8.57, PFR: 2.94, 3Bet Preflop: 0.00, Hands: 35)
MP: $0.40 (VPIP: 10.00, PFR: 12.50, 3Bet Preflop: 0.00, Hands: 10)
MP+1: $1.00 (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 4)
Hero (CO): $1.02
BTN: $2.11 (VPIP: 48.15, PFR: 22.22, 3Bet Preflop: 17.65, Hands: 27)

SB posts SB $0.01, BB posts BB $0.02

Pre Flop: (pot: $0.03) Hero has J<font color='black'>♠</font> T<font color='black'>♠</font>

fold, fold, fold, fold, Hero raises to $0.04, BTN calls $0.04, fold, BB calls $0.02

Flop: ($0.13, 3 players) 6<font color='black'>♠</font> Q<font color='black'>♠</font> 4<font color='black'>♣</font>
BB checks, Hero checks, BTN bets $0.13, fold, Hero raises to $0.98 and is all-in, BTN calls $0.85

Turn: ($2.09, 2 players) K<font color='black'>♣</font>

River: ($2.09, 2 players) 3<font color='black'>♣</font>

[spoil]Hero shows J<font color='black'>♠</font> T<font color='black'>♠</font> (High Card, King)

BTN shows Q<font color='red'>♥</font> 6<font color='black'>♣</font> (Two Pair, Queens and Sixes)
(Pre 51%, Flop 64%, Turn 66%)
BTN wins $1.99

$0.02 was deducted from the pot for the jackpot.

[/spoil] Was this a bad shove drawing to the nuts?