In this interpretation of the story, Jesus's compassion and appreciation for the woman emerge. That fits within the parameters of an expanding ministry to the Gentiles.
Why did Mark tell this story? why did Matthew?
If it is primarily a story about the woman's faith, I am liking it less and less. After all, Jesus rewarding the woman for her faith in him could be a tad egotistical.
But did Jesus actually do anything to heal the child? Neither account has Jesus laying on hands, mixing his spit with dirt or any other action
The story might be saying faith accomplishes something by its very nature.
So much to ponder here.
Maybe you're beginning to observe the deeper and darker regions of the story as the absolute clashes with the abstract ... tis dark, yet a place to draw from as a font ... the myth etches on ..