The Christ was sent first to deliver the Jew.The jew had time up to the day of pentecost to recieve and belive the message of Jesus.The jewish disbelife brought salvation message to the Gentile,which was Gods plan from the start.So while Jesus was veiled in the flesh ,his concern was to do the work of the Father,convertion of the Jewish people.
This women was a gentile and Gods time was not yet there for her to receive the message of the Kingdom of God.So Christ answered let the Children(the jew)first be filled.....and cast it unto the dogs(gentiles)
But the greek lady full of faith and conviction that this Jesus is able,replied
Yes Lord....childrens crumbs
She was not haveing it!
She said you only have to give your crumbs thats more than enough for all my needs.At this Jesus full of grace and love and because of the womens faith Healed her Daughter