The Holy Spirit came at Pentecost to indwell believers. His presence on the Earth is 'in' the temple of the believers, individually. His work is restraining lawlessness. Lawlessness is increasing as this Church Age presence of the Holy Spirit draws to a close and 'the spirit of lawlessness is already working in the world' was a theme Paul stressed with his mission converts.
The work of the Holy Spirit in us is foreshadowed in The Shekinah Glory of the building Temple in Jerusalem. We read in Ezekiel 10 and 11 that the Shekinah Glory had to depart before the Babylonians could conquer Jerusalem. Ezekiel witnessed this departure from a vantage point on the Mount of Olives, interestingly.
The very presence of God's Glory in the Temple restrained the physical armies of the Babylonians. The Spiritual presence of God's Spirit in us believers restrains the appearing of the man of sin and the lawlessness he spreads like poison to the souls of men across the Earth during the seventieth year of Daniel's prophecy for Israel.
And that brings us to another aspect of the seven years of Tribulation. That period is all about God dealing with Israel and culminates in Israel ruling the nations of the Earth (what remains of the inhabitants after the astonishing destructions during the second half of the Tribulation, called the Great Tribulation).
During the Tribulation God's 'sealed from the twelve tribes of Israel' will be the evangelists, proclaiming the Gospel as aligned for that day, to culminate in a well hallmarked Second Arrival of Jesus on Earth. The Rapture is not an arrival upon the Earth. Jesus can come and deal with men like Saul ont he road to Damascus without setting foot upon the earth, so He certainly can come for His Bride, the Body of Christ, without setting foot upon the Earth.
But we read clearly in not only Revelation but elsewhere that He will set foot upon the Earth a second time for the Second Coming. This imminence of His coming again led Jewish scholars to theorize there must be two messiahs, a suffering one from Joseph's linage and a conquering one from the David linage. Jesus indicted the leadership in His day by reading only part of a passage in Isaiah which points to both roles for Messiah.
Sadly, ever since the rumblings of the Reformation the Catholic Church has sought to use scripture passages to battle the reformation, such as the purposeful confusion over the word 'apostasia' found in II Thess 2 which is translated in the KJV as falling away, derived from the Rheim's Bible (1582) which translated the Greek word meaning 'The Departure' as a Latin word for revolt. The earliest Bibles had this word meaning The Departure, not 'a departing' or 'a revolt' or even 'a falling away'. With the rumblings of the Reformation rising the Geneva Bible (1560) and the Breeches Bible (1576) used 'a departing' instead of 'The Departure'. The passage in II Thess is pointing to what happens before the man of sin can emerge, and it is not referring to an apostacy of belief, as shown by the passages which follow that use of apostasia and where the word is used elsewhere to indicate a leaving or departure as exiting through a doorway.
All that said to clarify that The Holy Spirit is restraining lawlessness 'in' believers and thus influencing society. When He is taken out of the way, by Rapturing the Church of believers in whom dwells the Holy Spirit earnest of inheritance, the Holy Spirit restrained will be out of satan's way and his lawlessness can abound. The Rapture removes the Bride of Christ in whom dwells the Holy Spirit during the Church Age.
It is going to be so sudden and so astonishing, when the daed in Christ are resurrected then transformed and the alive believers are transformed to not taste death and thus meet in the clouds to be with the Lord in the Father's House until Jesus returns to the Earth, that people will immediately be told a lie to cover the truth. And this lie will be believed because God will send strong delusion as the first of many 'punishment' steps of the Tribulation period. But he will seal 144,000 from the twelve tribes named in Revelation, before/during when He allows the departure and the man of sin to emerge. The for seven years Israel will be evangelizing and fighting for its life against the forces of true darkness.
"When He is taken out of the way, by Rapturing the Church of believers in whom dwells the Holy Spirit earnest of inheritance, the Holy Spirit restraint will be out of satan's way and his lawlessness can abound. The Rapture removes the Bride of Christ in whom dwells the Holy Spirit during the Church Age.