“Except the “news” you are so fixated on is the presence of converted greeks, not the presence of a Church.”
No, the text says Jews and Greeks were converted.
“Now they which were scattered abroad upon the persecution that arose about Stephen travelled as far as Phenice, and Cyprus, and Antioch, preaching the word to none but unto the Jews only. And some of them were men of Cyprus and Cyrene, which, when they were come to Antioch, spake unto the Grecians, preaching the Lord Jesus. And the hand of the Lord was with them: and a great number believed, and turned unto the Lord.”
But what difference, Peter had already evangelized the Gentiles to the consternation of the Jerusalem church so that this would not have been news to the church if Peter had started it. The news here was that the scattered persecuted christians were evangelizing and many people were being converted. Out of this evangelization came the church at Antioch.
Are you telling me you can’t see the “two waves” in that passage?
You are assuming Peter’s preaching to the gentiles was consistent, but we know from Galatians that Paul opposed Peter to his face at Antioch for not being faithful to the calling of the gentiles.