Then Peter opened his mouth and said: “In truth I perceive that God shows no partiality. 35 But in every nation whoever fears Him and works righteousness is accepted by Him. 36 The word which God sent to the children of Israel, preaching peace through Jesus Christ—He is Lord of all— 37 that word you know, which was proclaimed throughout all Judea, and began from Galilee after the baptism which John preached: 38 how God anointed Jesus of Nazareth with the Holy Spirit and with power, who went about doing good and healing all who were oppressed by the devil, for God was with Him. 39 And we are witnesses of all things which He did both in the land of the Jews and in Jerusalem, whom they[e] killed by hanging on a tree. 40 Him God raised up on the third day, and showed Him openly, 41 not to all the people, but to witnesses chosen before by God, even to us who ate and drank with Him after He arose from the dead. 42 And He commanded us to preach to the people, and to testify that it is He who was ordained by God to be Judge of the living and the dead. 43 To Him all the prophets witness that, through His name, whoever believes in Him will receive remission of sins.” — Acts 10:34-43.
He then preaches Jesus as ‘Lord of all’, detailing His crucifixion, resurrection, and the fact that He will be Judge. He explains the prophets’ witness to Jesus. He then tells them that anybody believing in Christ ‘will receive remission of sins’.