Image: Jesus informs the Canaanite woman that He was sent only for the “sheep”, who are exclusively the children of Israel (cf. Jeremiah chapter 23, Ezekiel chapter 34, and Psalms 74, 79, 95 and 100 ), He then informs her that it is not proper to take the bread of the children (which is His favor) and throw it to the dogs, by which He is effectively calling the Canaanite woman a dog. The woman then agreed with Him, admitting that she was indeed a dog, an honest admission for which He commended her.
How does the Word of God define a “dog” and should we be throwing the bread of the children to them? Jesus said in Matthew 7:6, “Give not that which is holy unto the dogs, neither cast ye your pearls before swine, lest they trample them under their feet, and turn again and rend you.”