Peter said that the Holy Spirit came to be with the non-Jewish believers. Peter accepted those non-Jews as fellow believers.

Acts 11:11-17

11 “At that exact moment, three men who had been {whom Cornelius had} sent from Caesarea arrived at the house where I was staying. 12 God’s Spirit told me that I should be willing to go with them even though they were not Jews. These six Jewish believers from Joppa went with me to Caesarea, and then we (exc) went into that non-Jewish man’s house. 13 He told us that he had seen an angel standing in his house. The angel told him, ‘Tell some men to go to Joppa and bring back Simon whose other name is Peter. 14 He will tell you (sg) how you and everyone [MTY] else in your house will be saved {how God will save you and everyone [MTY] else in your house}.’ 15 After I started to speak, the Holy Spirit suddenly came down on them, just like he had first [MTY] come on us during the Pentecost festival. 16 Then I remembered what the Lord had said: ‘John caused people to be baptized in water, but God will cause the Holy Spirit to enter you and change your lives.’ 17 God gave those non-Jews the same Holy Spirit that he had given to us (inc) after we believed in the Lord Jesus Christ. So, ◄I could not possibly tell God that he did wrong when he gave them the Holy Spirit!/how could I tell God that he did wrong when he gave them the Holy Spirit?► [RHQ] He was showing that he had received them!”