When Jesus exorcised a Syro-Phoenician woman's daughter (Matthew 15:21-28; Mark 7:24-30), it was a time of peril for Him. Herod was suspicious, and the Pharisees no longer concealed their loathing of Him, having become openly hostile toward Him. Although many of the common people were enthusiastic over His marvelous works and profound teachings, many were also deeply offended by some of His words, which exposed them as sinners.
So Jesus saw a need to seek seclusion to rest and instruct His disciples in private. Mark records, however, "But He could not be hidden." The glory of Christ's teaching and miracles could not be concealed in this darkened world.
The disciples' appeal to get rid of the woman reveals their weariness of the crowd's incessant pleas for Jesus' intervention. Her persistent cries for her daughter's healing were just another aggravation and too much to deal with.
As a Phoenician, the woman would likely have worshipped the mother-goddess "Ashtoreth" or "Astarte," also known as "the Queen of heaven," who was thought to be the giver of all life. This goddess supposedly allowed her worshippers to do all sorts of evil. This woman, then, from a background of total paganism, sought divine mercy both for herself and for her demon-possessed daughter.
Matthew's account expresses that the daughter was badly demonized, totally insane and disabled. Her anxious mother, unable to do anything for her relief, pleads with Jesus for mercy on her and her daughter. She addresses Him as "Lord," revealing her respect for Him as having authority and superiority. In calling Him "the Son of David," she recognizes Him as Israel's Messiah. She identifies herself with her daughter's need, implying that healing her daughter would mean mercy for her, as her child's misery was her own. No doubt, the merciful Jesus anticipated her need for Him as He had with others (John 5:6).
Martin G. Collins
The Miracles of Jesus Christ: Exorcising a Syro-Phoenecian (Part One)