But would the Gentiles even understand who the "Christ" is talking about? I have no clue, but your comment interests me, so could you please elaborate?
He had been very well-known throughout the vast, Roman Province of Judaea, and beyond.
Acts 10:37 That word, I say, ye know, which was published throughout all Judaea, and began from Galilee, after the baptism which John preached;
Why?
Because Israelites had long been scattered throughout many nations.
Matthew 2:1 Now when Jesus was born in Bethlehem of Judaea in the days of Herod the king, behold, there came wise men from the east to Jerusalem, 2:2 Saying, Where is he that is born King of the Jews? for we have seen his star in the east, and are come to worship him.
Matthew 4:15 The land of Zabulon, and the land of Nephthalim, by the way of the sea, beyond Jordan, Galilee of the Gentiles;
Matthew 10:18 And ye shall be brought before governors and kings for my sake, for a testimony against them and the Gentiles.
Matthew 23:15 Woe unto you, scribes and Pharisees, hypocrites! for ye compass sea and land to make one proselyte, and when he is made, ye make him twofold more the child of hell than yourselves.
John 7:35 Then said the Jews among themselves, Whither will he go, that we shall not find him? will he go unto the dispersed among the Gentiles, and teach the Gentiles?
John 11:51 And this spake he not of himself: but being high priest that year, he prophesied that Jesus should die for that nation; 11:52 And not for that nation only, but that also he should gather together in one the children of God that were scattered abroad.
Acts 4:24 And when they heard that, they lifted up their voice to God with one accord, and said, Lord, thou art God, which hast made heaven, and earth, and the sea, and all that in them is: 4:25 Who by the mouth of thy servant David hast said, Why did the heathen rage, and the people imagine vain things? 4:26 The kings of the earth stood up, and the rulers were gathered together against the Lord, and against his Christ. 4:27 For of a truth against thy holy child Jesus, whom thou hast anointed, both Herod, and Pontius Pilate, with the Gentiles, and the people of Israel, were gathered together, 4:28 For to do whatsoever thy hand and thy counsel determined before to be done.
Acts 17:22 Then Paul stood in the midst of Mars' hill, and said, Ye men of Athens, I perceive that in all things ye are too superstitious. 17:23 For as I passed by, and beheld your devotions, I found an altar with this inscription, TO THE UNKNOWN GOD. Whom therefore ye ignorantly worship, him declare I unto you. 17:24 God that made the world and all things therein, seeing that he is Lord of heaven and earth, dwelleth not in temples made with hands; 17:25 Neither is worshipped with men's hands, as though he needed any thing, seeing he giveth to all life, and breath, and all things; 17:26 And hath made of one blood all nations of men for to dwell on all the face of the earth, and hath determined the times before appointed, and the bounds of their habitation; 17:27 That they should seek the Lord, if haply they might feel after him, and find him, though he be not far from every one of us: 17:28 For in him we live, and move, and have our being; as certain also of your own poets have said, For we are also his offspring. 17:29 Forasmuch then as we are the offspring of God, we ought not to think that the Godhead is like unto gold, or silver, or stone, graven by art and man's device. 17:30 And the times of this ignorance God winked at; but now commandeth all men every where to repent: 17:31 Because he hath appointed a day, in the which he will judge the world in righteousness by that man whom he hath ordained; whereof he hath given assurance unto all men, in that he hath raised him from the dead.
James 1:1 James, a servant of God and of the Lord Jesus Christ, to the twelve tribes which are scattered abroad, greeting.
And so on...
His coming had been well known throughout that ancient world - because of the Jews.
Acts 2:5 And there were dwelling at Jerusalem Jews, devout men, out of every nation under heaven.
2:9 Parthians, and Medes, and Elamites, and the dwellers in Mesopotamia, and in Judaea, and Cappadocia, in Pontus, and Asia, 2:10 Phrygia, and Pamphylia, in Egypt, and in the parts of Libya about Cyrene, and strangers of Rome, Jews
and proselytes,
Acts 17: 11, 12