Some might advocate a small defensive bet. Checking and calling small bets only might be the standard play, here, which would probably be my first choice if losing the minimum is the objective. Trying to represent a stronger hand is always an option depending upon how the betting has went up to this point, but this isn't a good strategy to 'lose the minimum'.
need more info on how the hand played out to give a proper answer.
If you want folds there I would 3b his B open and bet 66% plus on turn. With the specific hand he has you probably need the double barrel to get the fold.
When I have 66 on flops like 33-A I gamble it up. A-3 is a made hand ace one pair is more common and weird 5-3 has trips. Betting is medium in these situations sometimes so I call some bets to turn river a 6 improbable always pays but big and if I'm up against aces full then oops rarely happens,same as hitting my 6 on the turn
It is nice to see your cards and see a small pocket pair there - immediately thoughts about winning a huge pot appear. In a multi-player pot, this is an excellent hand, but beware of big pre-flop raises. And don't be afraid to raise medium-sized if your stacks are deep.
In a one-on-one game, these hands are also good, especially if you are in position. And in some situations, you can make value-bets with these hands, even if they are not strengthened.
But if someone reraises preflop, do not call automatically - this is a mistake. Calling large reraises with small pairs is absolutely unacceptable. Of course, it’s great to get a set in a huge pot, but this doesn’t happen often enough to make a long-term profit.
In this situation, your image is not enough. To analyze the distribution completely, you need to see how your card was played preflop, flop, turn and river. And also know at least approximately how your opponent plays. Whether he is loose, nuts, professional or other player. Then it will be clear how to save money in this distribution. In each distribution there are a lot of factors that influence the distribution result. In order to understand this, you need to watch the training videos on YouTube and read poker literature.