Then later on Peter preached to the Gentiles, the House of Cornelius and they were saved without water Baptism or any other ritual to get saved as the first chosen were.
they did get baptized water baptized, yet were saved before that in the evidence seen by Peter, who under Jewish Law entered a Gentile house illegally.
Peter went to the other disciples, exclaimed what happened to the gentiles without rituals
I do not know if they believed Peter, I do know James and one other went to Galatia to spy out the liberty, that Peter told them about. And Peter hid in fear again as he did when they arrested Jesus. Peter was in process learning to not fear and yet had fear. Learning rituals are now over. Which Paul rebuked Peter fro that hiding, and later when Peter wrote 1,2,3, Peter we get to see the learning curve he learned to stand in God alone and not fear, as he said good things about Paul in 3 Peter
Beleif God, receive truth from Gos and be new in God's Holy Spirit, John 4:23-24
None is excluded from the need to be water baptized in the name of Jesus. All detailed conversion accounts reveal what is required in order to receive the NT rebirth. Every single account includes belief in Jesus, repentance, water baptism in the name of Jesus for remission of sin, and receiving the Holy Ghost. According to Jesus only those who have experienced the NT rebirth through water and Spirit will gain entrance into the kingdom of God. (John 3:3-5)
Acts 2:38-39
(Jewish) The group did not receive the Holy Ghost the moment they believed in Jesus. However, they were told they could expect the Holy Ghost at some point.
Then Peter said unto them, Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Ghost.
For the promise is unto you, and to your children, and to all that are afar off, even as many as the Lord our God shall call.
Then they that gladly received his word were baptized: and the same day there were added unto them about three thousand souls.
Acts 8:12-17
(Samaritans-half Jewish-half Gentile - Why did they hear the gospel before the Gentiles? Their Jewish heritage took precedence)
But when they believed Philip preaching the things concerning the kingdom of God, and the name of Jesus Christ, they were baptized, both men and women.
Then Simon himself believed also: and when he was baptized, he continued with Philip, and wondered, beholding the miracles and signs which were done.
Now when the apostles which were at Jerusalem heard that Samaria had received the word of God, they sent unto them Peter and John:
Who, when they were come down, prayed for them, that they might receive the Holy Ghost:
(For as yet he was fallen upon none of them: only they were baptized in the name of the Lord Jesus.)
Then laid they their hands on them, and they received the Holy Ghost.
Acts 10:43-48
(Gentiles)
43 To him give all the prophets witness, that through his name whosoever believeth in him shall receive remission of sins.
While Peter yet spake these words, the Holy Ghost fell on all them which heard the word.
And they of the circumcision which believed were astonished, as many as came with Peter, because that on the Gentiles also was poured out the gift of the Holy Ghost.
For they heard them speak with tongues, and magnify God. Then answered Peter,
Can any man forbid water, that these should not be baptized, which have received the Holy Ghost as well as we?
And he commanded them to be baptized in the name of the Lord. Then prayed they him to tarry certain days.
Acts 19:2-6
(12 Ephesians who did not realize they had to water baptized in Jesus name)
He said unto them, Have ye received the Holy Ghost since ye believed?
(Paul's question reveals those who believe do not automatically receive the Holy Ghost) And they said unto him, We have not so much as heard whether there be any Holy Ghost.
And he said unto them, Unto what then were ye baptized? And they said, Unto John's baptism.
Then said Paul, John verily baptized with the baptism of repentance, saying unto the people, that they should believe on him which should come after him, that is, on Christ Jesus.
When they heard this, they were baptized in the name of the Lord Jesus.
And when Paul had laid his hands upon them, the Holy Ghost came on them; and they spake with tongues, and prophesied.
Acts 22:14-16 (Paul's water baptism)
And he said, The God of our fathers hath chosen thee, that thou shouldest know his will, and see that Just One, and shouldest hear the voice of his mouth.
For thou shalt be his witness unto all men of what thou hast seen and heard.
And now why tarriest thou? arise, and be baptized, and wash away thy sins, calling on the name of the Lord.