AK Nl4 OOP

Known players:
[tg]Position_Stack:hands/vp$ip/RaisePreflop/AF/WTS/ORL/BBvsSteal/W$SD;SB$6.78:139/8/5/11.0/0/9/100/-;BB$2.2:35/20/14/6.0/33/14/-/0;Hero$4:///////;CO$4.21:95/34/19/2.6/17/37/50/0;BU$9.51:271/24/18/2.1/28/27/75/54;[/tg]
0.02/0.04 No-Limit Hold'em (5 handed)
Hand recorder used for this poker hand: PokerStrategy.com Elephant 0.105 by www.pokerstrategy.com.

Preflop: Hero is MP3 with A♥, K♦
Hero raises to $0.16, 3 folds, BB raises to $0.84, Hero calls $0.68.

Flop: ($1.70) Q♠, J♥, T♥ (2 players)
BB bets $0.81, Hero raises to $3.16 (All-In), BB calls $0.55 (All-In).

Turn: ($6.22) 4♦
River: ($6.22) 2♦ (2 players)

Final Pot: $6.22

Results follow (highlight to see):
Hero shows a straight, ace high (Ah Kd)
BB shows (Ac Tc)

Hero wins with a straight, ace high (Ah Kd)

Is my preflop call questionable here given my opponent's stats? When is this a preflop fold? Why?