1. There is no question that an apology is necessary when a wrong has been done (whether "hurt" or anything else). The important thing for each one is to EXPECT NOTHING AND YOU WILL NOT BE DISAPPOINTED.
2. The other thing to keep in mind is that a lot of people are "super-sensitive". Some friend or relative should sit down with them and advice them that being super-sensitive is not conducive to mental well-being. Developing a "thick-skin" is a necessity today.
3. Believers must examine themselves daily and also weekly before the Lord's Supper (as instructed in Scripture). If we would examine ourselves and allow the Holy Spirit to convict us, we would also go and apologize to the ones we may have offended.
4. At the same time, believers should understand that God requires them to rebuke sinning brothers and sisters, and to also accept rebukes graciously. Paul rebuked Peter publicly, but that did not change Peter's love for Paul (2 Pet 3:15,16). Therefore Christians should be prepared for Christian rebuke, which is actually an expression of love: "As many as I love, I REBUKE and chasten" saith the Lord (Rev 3:19). Are we emotionally and mentally prepared for spiritual rebukes? Are those being discipled taught to expect rebukes and apply them to themselves to grow spiritually? In the society we live in "You can't tell me how I should speak/live/behave!" is the prevalent attitude, which carries over into the Christian community.
5. Scripture also speaks about "weaker brethren" (Rom 14). If we know that weaker brethren and sisters are easily offended about peripheral matters, we need to avoid giving them offence. That is an expression of grace.
6. Finally, we need to take the Lord Jesus Christ as our example in this matter. He was hated, insulted, mocked, ridiculed, and despised every day that He was on earth. But Scripture tells us that He remained silent while receiving these verbal attacks. He never retaliated for personal attacks, although He denounced sins vehemently. We can, and should, do the same.
Did anyone ever say they were sorry to Jesus?