"True remorse" refers to genuine feelings of regret, guilt, or sorrow for one's actions or behavior. It implies a sincere desire to make amends and change for the better. Full definition
Christ forgave all who show true remorse and a true effort at atonement, and the Church tries to emulate that. (religion.blogs.cnn.com)
But that always entails a process of true remorse, restitution, and healing. (relevantmagazine.com)
According to the Bible, God will forgive killers and other sinners who recognize their sin, repent (which requires feeling true remorse), and ask His forgiveness. (religion.blogs.cnn.com)