Actually, I think you may be making an assumption here about what Jesus was doing, TEXBOW. Let me quote the text first, and I will explain:
21 Then Jesus went out from there and departed to the region of Tyre and Sidon. 22 And behold, a woman of Canaan came from that region and cried out to Him, saying, “Have mercy on me, O Lord, Son of David! My daughter is severely demon-possessed.” 23 But He answered her not a word. And His disciples came and urged Him, saying, “Send her away, for she cries out after us.” 24 But He answered and said, “I was not sent except to the lost sheep of the house of Israel.” 25 Then she came and worshiped Him, saying, “Lord, help me!” 26 But He answered and said, “It is not good to take the children’s bread and throw it to the little dogs.” 27 And she said, “Yes, Lord, yet even the little dogs eat the crumbs which fall from their masters’ table.” 28 Then Jesus answered and said to her, “O woman, great is your faith! Let it be to you as you desire.” And her daughter was healed from that very hour.
Now, if you'll notice, He was very pleased with her response, and her response was in effect correcting Him on what He said. When you see that, you understand that He was in all likelihood just setting her up if you will, knowing that despite being a Canaanite her faith in God was there, but He wanted her to express it in words.
I believe His statement was a leading one, meant to draw her out, as if to give her the common Jewish reply when He knew she wouldn't buy that faithless nonsense but would be even so bold as to correct Him. This could have gotten her disciplined, for women were not generally supposed to be teaching men, let alone a Canaanite woman.