Read this passage thinking about your congregation. Jesus is in a neighborhood housing people that are not like him, that have a different background from his. Someone that societal rules indicate that he should avoid approaches him. Although he initially ignores her, he does give to her what she wants, what she needs very much.
Had this Canaanite woman read Isaiah 56:1-8, "God says, "Outsiders are included in my promises"? Have we?