[Jesus says,] "If your brother sins against you, go and show him his fault, just between the two of you. If he listens to you, you have won your brother over."
Public confrontations never produce positive results in mending a relationship. In fact, it usually pulls the two parties even further apart. The word of God wants us to always strive for peace. So instead, of public embarrassment, pull the person you need to address to the side and have your own private conversation. They will appreciate your privacy and will always remember that you chose honor over humiliation. Today, talk it out amongst yourselves.