The encounter between Jesus and the Canaanite woman is repeatedly approached through the wrong question: why was Jesus unwilling to help her?
That question assumes the very thing that needs examining. A request that brings no immediate healing does not establish unwillingness in Jesus. The Gospels already identify another obstacle: lack of faith in those approaching him.
At Nazareth, Mark says:
“He could do no mighty work there, except that he laid his hands on a few sick people and healed them. He marveled because of their unbelief.”
— Mark 6:5–6