Jesus showed mercy to a Canaanite woman who begged him to heal her demon-possessed daughter. At first, Jesus did not respond and his disciples urged him to send her away. He told her that he was sent only to Israel. However, the woman persisted in her request, humbly calling him "Lord." Jesus acknowledged her great faith and healed her daughter. He then healed many others who were brought to him. The document discusses how Jesus tested but ultimately rewarded the woman's faithful prayer through her difficulties, showing his mercy.