The Outsiders: "The Wideness of God's Mercy" (Matthew 15:21-28)

In our passage, it appears that Jesus chooses not to acknowledge someone in need. Can that really be true? Do we have a Savior that ignores people who cry out to him? I wonder if, like the woman in the Matthew passage, each of us has had a time in our lives when we are certain that God was choosing to ignore us instead of choosing to help us. If that is the case, what does that mean for us and what does it say about God? How wide is God’s mercy? Is there room for everyone?