And from there he arose and went away to the region of Tyre and Sidon. And he entered a house, and would not have any one know it; yet he could not be hid. But immediately a woman, whose little daughter was possessed by an unclean spirit, heard of him, and came and fell down at his feet. Now the woman was a Greek, a Syrophoenician by birth. And she begged him to cast the demon out of her daughter. And he said to her, "Let the children first be fed, for it is not right to take the children's bread and throw it to the dogs." But she answered him, "Yes, Lord; yet even the dogs under the table eat the children's crumbs." And he said to her, "For this saying you may go your way; the demon has left your daughter." And she went home, and found the child lying in bed, and the demon gone. Mark 7:24–30 (RSV)
I do not subscribe to the current fashion among some that being white automatically makes one a racist. Labeling an entire group of people because of their skin color is, by definition, racism. It leads nowhere and does nothing useful.
We all do have prejudices. A prejudice is a prejudgement we make about others, often with little truth to the judgment. Left unchecked, prejudices can lead to being racists, so we must carefully consider every prejudice for it is.
The Jews held prejudices about non-Jews. Simply put, God loves the Jews and does not love the non-Jews, the Gentiles. God would never do anything good or useful for a Gentile. The Syrophoenician woman fit that category. A Jew would have nothing to do with her, certainly not heal her child.
Jesus often acted and spoke in a way that stepped outside the social boundaries. His words and actions would challenge His disciples, the leaders of the Temple, and His fellow Jews, to consider God's will beyond their prejudices.
When Jesus said, 'For God so loved the world, that He gave His only Son.' He was serious about loving the world. His challenge to His disciples to see beyond their prejudices is to learn the love of God. His encounter with the Syrophoenician woman revealed her faith to us all, allowing us to see beyond what we think we know about others.