Acts 10 shows that scripture is True, that the Just shall live by Faith, they will have the Gospel sent to them, and the Righteousness of God revealed to them Rom 1:16-17
For I am not ashamed of the gospel of Christ: for it is the power of God unto salvation to every one that believeth; to the Jew first, and also to the Greek.
For therein is the righteousness of God revealed from faith to faith: as it is written, The just shall live by faith.
Now was Cornelius Just ? Acts 10:22
And they said, Cornelius the centurion, a just man, and one that feareth God, and of good report among all the nation of the Jews, was warned from God by an holy angel to send for thee into his house, and to hear words of thee.
Now did Cornelius have Faith ? Yes, because He prayed to God obviously in Faith Acts 10:3-4
3 He saw in a vision evidently about the ninth hour of the day an angel of God coming in to him, and saying unto him, Cornelius.
4 And when he looked on him, he was afraid, and said, What is it, Lord? And he said unto him, Thy prayers and thine alms are come up for a memorial before God.
Now for God to embrace His Prayers like that, he must #1 be righteous #2 pray in Faith James 1:5-7
5 If any of you lack wisdom, let him ask of God, that giveth to all men liberally, and upbraideth not; and it shall be given him.
6 But let him ask in faith, nothing wavering. For he that wavereth is like a wave of the sea driven with the wind and tossed.
7 For let not that man think that he shall receive any thing of the Lord
God doesnt hear the prayers of sinners Jn 9 31
Now we know that God heareth not sinners: but if any man be a worshipper of God, and doeth his will, him he heareth.
See that ? Was Cornelius a worshipper of God ?
One more promise to the Just Prov 4:18
But the path of the just is as the shining light, that shineth more and more unto the perfect day.
Again was Cornelius Just ? Yes and thats who God sends the Light of the Gospel as a word of Salvation !