The Gospel reading simply shows how anyone who has true faith in the Lord can have his or her prayer answered. To the Lord, everyone has the same opportunity to receive God’s grace. It is not meant solely for His chosen people but for anyone who has that unwavering faith in him.
We go through many rejections, but Jesus wants to empower us to “beg” for what we need. In this scene, our Lord is in an area for foreigners. That is why a Canaanite woman was able to approach him. It may seem like Jesus did not want to help this mother by telling her that he came for the Jewish faithful only. But perhaps, he was only trying to see how much she really wanted him to heal her daughter.
By bravely proclaiming that even if she was not a Jew, she was still willing to get the crumbs or whatever was leftover, she impressed Christ to proudly declare that she had so much faith in his healing touch.
If we could only have such a faith, what a grace that would be!