It doesn't seem so to me. You are dividing the Scriptures into dispensations-- Christ's mission to the Jews and the Apostles' mission to the Gentiles.
No, that’s your imagination, I’ve divided the scriptures in no such manner. He was at once ‘The Prophet’ who warned of the imminent demise of one dispensation and the Author and Mediator of a new one. [Hebrews 12:24-29]
“I am not sent, but to the lost sheep of the house of Israel; as a priest, or as a Saviour and Redeemer, he was sent to make satisfaction and atonement for the sins of all God's elect, and to obtain eternal redemption and salvation for all of them, whether Jews or Gentiles; but
as a prophet, in the discharge of his own personal ministry, he was sent by his Father only to the Jews; he was the "minister of the circumcision", Romans 15:8 that is, a minister to the circumcised Jews…..” Gill
Yea, I know, but it’s not what I said. That was you jumping to conclusions.
So what was He doing in 'the region of Tyre and Sidon' (Matthew 15:21)? That was never part of Israel. Whom would He expect to meet there but Syro-Phoenicians? Why 'must' He go through Samaria and meet the woman by the well (John 4:4)? Why does He go outside of Israel to the Decapolis, where men herd pigs, to heal the demoniac and feed the Four Thousand?
The words of Matthew 15:24 were spoken to test this woman. She showed herself to be a true spiritual Israelite just as much as Nathaniel or Zacchaeus. She identified the Lord Jesus as 'Lord' and 'Son of David.' 'For he is not a Jew who is one outwardly.......but he is a Jew who is one inwardly; and circumcision is that of the heart' (Romans 2:28-29). She took the kingdom of heaven by force (Matthew 11:12).
Although these words were spoken to Jews, they are equally applicable to you and me. 'For so God loved the world that He sent His only begotten Son.....' 'There is neither Jew nor Greek, there is neither slave nor free, there is neither male nor female; for you are all one in Christ Jesus.'
None of your reasoning above negates in the least the plain meaning of ‘The Prophet’s’ words:
24 But he answered and said,
I was not sent but unto the lost sheep of the house of Israel. Mt 15
5 These twelve Jesus sent forth, and charged them, saying,
Go not into any way of the Gentiles, and enter not into any city of the Samaritans:
6 but
go rather to the lost sheep of the house of Israel. Mt 10
27 And he said unto her,
Let the children first be filled: for it is not meet to take the children`s bread and cast it to the dogs. Mk 7
16 For I am not ashamed of the gospel: for it is the power of God unto salvation to every one that believeth;
to the Jew first, and also to the Greek. Ro 1
26
Unto you first God, having raised up his Servant, sent him to bless you, in turning away every one of you from your iniquities. Acts 3
46 Then Paul and Barnabas waxed bold, and said,
It was necessary that the word of God should first have been spoken to you: but seeing ye put it from you, and judge yourselves unworthy of everlasting life, lo, we turn to the Gentiles. Acts 13
It wasn't until Acts 10 that the joining of 'the two folds' began.