"And when ye shall see Jerusalem compassed with armies, then know that the desolation thereof is nigh . . . and Jerusalem shall be trodden down of the Gentiles, until the times of the Gentiles be fulfilled." (Luke 21:20, 24)
The Greek for "trodden" is pat-eh'-o (#3961 in Strong's Concordance), and it means "to trample down underfoot".
Revelation tells us how long the "trodden down" shall last.
Rev 11:2"But the court which is without the temple leave out, and measure it not; for it is given unto the Gentiles : and the holy city shall they tread under foot (pateho) forty and two months ."
The term, "under the feet" has the meaning of triumph.
Josh 10:24 And it came to pass, when they brought forth those kings unto Joshua, that Joshua called for all the men of Israel, and said unto the chiefs of the men of war that went with him, Come near, put your feet upon the necks of these kings. And they came near, and put their feet upon the necks of them.
see also: 2 Kings 7:17, 20, 9:33; Isaiah 14:19
"under the feet" also is a metaphor for dominion, conquering, possession, judgment, shame, defilement, oppression, and victory.
Deuteronomy 11:24 Every place whereon the sole of your foot shall tread shall be yours: from the wilderness, and Lebanon, from the river, the river Euphrates, even unto the hinder sea shall be your border.
Judges 20:43; 1 Kings 5:3; Luke 20:43; Acts 2:35; Romans 16:20;
Here is what Dan Delagrave says: "The times of the Gentiles referred to the treading down, or desolation, of first century Jerusalem, which Jesus called "the days of vengeance". In other words, it was God's mission for the Gentiles to bring judgment upon Jerusalem. This is consistent with past judgments upon Israel, when God brought Gentiles armies into their land to desolate it."
Let the name-calling begin.