No, that's not what the text says.
It says, "On the contrary, when they saw that I had been entrusted with the gospel to the uncircumcised, just as Peter had been entrusted with the gospel to the circumcised
8(for he who worked through Peter for his apostolic ministry to the circumcised worked also through me for mine to the Gentiles"
Do you have a verse for this?
Galatians 2:8 says that Peter was the apostle to the Jews, not to the gentiles.
Why was Peter sent to the Gentiles by God?
This is where we can see that Peter was guided by God to lead the Church and brought the Gentiles into the Church.
They recognised that Peter had a charism for the Jews and Paul had charism for the Gentiles.
“James, Cephas[
c] and John, those esteemed as pillars, gave me and Barnabas the right hand of fellowship when they recognized the grace given to me. They agreed that we should go to the Gentiles, and they to the circumcised. 10 All they asked was that we should continue to remember the poor, the very thing I had been eager to do all along.”
This did not mean that this was exclusive, because Paul rightly pointed out that Peter was treating Jew and Gentile differently.
If Peter was
exclusively for the Jews, Paul would not have rebuked Peter to his face for separating company from the Gentiles and only eating with the Jews.
So Peter was with Jew and Gentile believers alike in his community.
“When Cephas came to Antioch, I opposed him to his face, because he stood condemned. 12 For before certain men came from James, he used to eat with the Gentiles. But when they arrived, he began to draw back and separate himself from the Gentiles because he was afraid of those who belonged to the circumcision group. 13 The other Jews joined him in his hypocrisy, so that by their hypocrisy even Barnabas was led astray.”
14 When I saw that they were not acting in line with the truth of the gospel, I said to Cephas in front of them all, “You are a Jew, yet you live like a Gentile and not like a Jew. How is it, then, that you force Gentiles to follow Jewish customs?”