The call on the turn had to be done...right? Was there any other way of playing this?

PokerStars No-Limit Hold'em, $0.10 BB (8 handed) from (Format: FlopTurnRiver)

Hero ($10.25)
UTG+1 ($4.65)
MP1 ($9.60)
MP2 ($2)
CO ($9.55)
Button ($2.45)
SB ($9.90)
BB ($9.15)

Preflop: Hero is UTG with 6, 6.
Hero calls $0.10, 6 folds, BB checks.

Flop: ($0.25) 3, 5, 4 (2 players)
BB bets $0.4, Hero raises to $1.2, BB calls $0.80.

Turn: ($2.65) 6 (2 players)
BB bets $1.1, Hero calls $1.10.

River: ($4.85) 7 (2 players)
BB bets $2, Hero folds.

Final Pot: $6.85

Results in white below:
BB doesn't show.
Outcome: BB wins $6.85.

You have to call the turn with 3:1 odds and 10 or more outs.

your play is fine.

The call on the turn is good because you are getting decent Pot odds, plus villian could easily have a flush which means your implied river odds are great.

river is an easy fold.