The Syrophoenician woman is an example of shameless faith. She came to Jesus asking that her daughter be delivered from a demon but Jesus did not give a response but she persisted.
When Jesus responded, he said, "...It is not meet to take the children's bread, and cast it to dogs". To give a better context to Jesus' response; the woman wasn't a Jew. By implication, Jesus was not obliged to grant her request because he came for the lost sheep of Israel(vs 24).
That doesn't mean he did not care for the gentiles but that statement was intentionally made to show Israel's place in God's salvific plan and a fulfilment of messianic prophecies ( Jer 50:6, Ezek 34:23-24, Mic 5:4, Mk 6:34, 14:27).
In God's plan, Israel was meant to be the first recipient of the Messiah. They were positioned to spread the news of his salvific work to all gentile nations. They were meant to be the launchpad of the goodnews. It is Jews first and then gentiles( Rom1:16). That was the plan, it doesn't mean God doesn't have plans for the gentiles, it is an issue of priority.
Now, this woman heard Jesus clearly and I want to believe she understood what Jesus meant to some extent but her faith was in shameless persistent mode. She said, "...Truth, Lord: yet the dogs eat of the crumbs which fall from their masters' table."(vs 27).
When Jesus heard what she said, he said, "...O woman, great is thy faith: be it unto thee even as thou wilt. And her daughter was made whole from that very hour" (Vs 28).
What do you think would have happened If that woman took Jesus' statement as an insult about her non-Jewish nationality/race? If she had taken offense, her daughter would have died in that demonic oppression.
Instead of taking offense, she shook took off the garment of shame and persisted with Jesus until she got her miracle. Sometimes, what seemed like an insult might come in pursuit of a miracle. Don't take offense, it is a trap to deaden your shameless faith.
Shameless faith is a faith that breaks protocol. It is that type of faith that doesn't take "No" for an answer. It is the type of faith that is not swayed by opinion and fact of men.
The moment your faith accommodates shame, doubt will creep in and nullify your faith.
