Paul writes in 1 Corinthians 6:7b, “Why not rather suffer wrong? Why not rather be defrauded?” (ESV) This question lies in the context of letting a brother/sister in Christ wrong us or defraud us rather than allowing a public trial to harm the image of Christ and His Church, but it could easily be taken to a larger context. Look at Christ’s words in Matthew 5:40 “And if anyone would sue you and take your tunic, let him have your cloak as well.” (ESV)
God is challenging us to remove pride and humble ourselves. He is also asking us to be active in our relationships. If we just look at the verses in the first part of 1 Corinthians chapter 6 we would be in a state of inaction (not doing something, in this case not bringing a fellow brother/sister to trial), but we are called to do more than this as Matthew 5:40 challenges us to go a step further by piling on grace in the action of giving.
As followers of Christ, when we are wronged, it is not enough for us to turn the other cheek (Matthew 5:39) but we should also show love, be active, pursue a relationship through reconciliation as Christ would desire (Matthew 18:15) and just as Christ did Himself.
The challenge I propose is for us to humble ourselves before those who we feel have hurt us and pursue a relationship. This is just what Christ did when He died on the cross for you and I, and it is what He is calling us to do as well.