If you were to read a verse (in the same book, Matthew, just one chapter earlier, ch. 15)in which Christ clearly states who He did not come to minister to, and who He did come to minister to, would you believe His words then? And would it not have bearing on His instruction in the following chapter? And would it not have a bearing on what His Apostles understood Him to be addressing?
Mat 28:18 And Jesus coming, spoke to them, saying: All power is given to me in heaven and in earth.In fact, Christ's actions in Mat 15:28 demonstrate that His words in 15:24 were not meant to describe an absolute and exclusive mission, but rather a primary one. This is borne out by His final words quoted above: "all nations."
Mat 28:19 Going therefore, teach ye all nations: baptizing them in the name of the Father and of the Son and of the Holy Ghost.
Mat 28:20 Teaching them to observe all things whatsoever I have commanded you. And behold I am with you all days, even to the consummation of the world.