Should I call? BTNvsBB (3bet pot)

Hi,

I played a hand recently and wanted to get your thoughts on it. I folded because I felt that the villain had a better hand than my top pair, but upon reviewing the hand, I realized that If villain has AK+FD, KK+ maybe I should have called.

I'm wondering what kind of hands villain might have had in this situation. I generally tend to overfold post flop, but I'm trying to improve my game by bluff catching more often.

Would you recommend calling in this situation ?
Calling down and getting a note (First hand with villain)?

I'd appreciate any thoughts or advice you have.

GG Poker - $0.05 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

Hero (BTN): $8.52
SB: $6.70
BB: $4.23
UTG: $14.16
MP: $6.98
CO: $7.50

SB posts SB $0.02, BB posts BB $0.05

Pre Flop: (pot: $0.07) Hero has Q♦ A♥

fold, fold, fold, Hero raises to $0.10, SB raises to $0.60, fold, Hero calls $0.50

Flop: ($1.25, 2 players) Q♠ 3♠ T♠
SB bets $0.25, Hero calls $0.25

Turn: ($1.75, 2 players) 6♣
SB checks, Hero bets $0.58, SB raises to $5.85 and is all-in, fold

SB wins $2.70