Did not the abomination of Desolation happen when the temple was destroyed in 70 AD.
Here is where many people lose track of the SEQUENCE ISSUES in the Olivet Discourse.
The answer is, NO.
What happened in 70ad were the events spelled out in Luke 21:12-24a,b [with 'c' following on from there]. Meaning, WHEN they "SEE"
Jerusalem "COMPASSED WITH ARMIES" (nothing about the
AOD here!), they were to "FLEE" (the 70ad "SEE then FLEE" thing).
Verse 12 (of Lk21) tells us of the SEQUENCE, by its saying "BUT BEFORE ALL THESE [BEFORE ALL 'the beginning of birth pangs' that vv.8-11 just spoke of]"... ;
Whereas in Matthew 24, "the beginning of birth pangs" PRECEDE the v.15 "AOD" (which is when "
GREAT tribulation" [like Dan12:
1,
6-7, and v.11--halfway through the Trib yrs] commences [not to mention Rev7:9,14's mention of same]);
Don't conflate this with Lk21:23's "
great distress in the land, and
wrath upon THIS PEOPLE" (the 70ad events; parallel with Matt22:7's "when the king heard thereof he was WROTH: and he sent forth his armies and BURNED UP THEIR CITY").
"The beginning of birth pangs" (which ARE the SEALS of Rev6) take place AFTER the 70ad events, per Lk21:12's SPECIFIC WORDING telling us so! (and I do not say "
immediately after"... No.)
Paul uses the same Greek word (in the singular; the INITIAL 'birth-PANG') to explain that THAT is WHEN "the DOTL" will ARRIVE (and he says it will not "be present" without its star player "the man of sin"--his "whose COMING / ADVENT / ARRIVAL / PRESENCE / PAROUSIA" 2Th2:9a... corresponding with
both Dan
11:36 AND Dan9:27
a[,26b]--both of which take place BEFORE the
MID-trib verses of Dan12:
1,6-7 / 9:27
b! [which is the commencement of the
GREAT tribulation / 2nd HALF of the 7 yrs])
That being said I believe from what I see in scripture immediately preceding the taking of the Church those days are the beginning of sorrow and what is known as the Tribulation period.
"The beginning of birth-PANGS" (of which the FIRST ONE IS: Matt24:4 / Mk13:5's "G5100 -
tis - 'A CERTAIN ONE' [a certain one BRINGING DECEPTION; i.e. SEAL #1 / the man of sin / AC / Dan9:27a[,26b 'prince THAT SHALL COME'] / "whose COMING / ADVENT / ARRIVAL / PRESENCE / PAROUSIA"2Th2:9a]" is the START of the 7-yr period.
It does not "immediately precede" our Rapture (as you say), but rather, will immediately FOLLOW "our Rapture".
["GREAT" tribulation speaks ONLY of the 2nd HALF of the "7 yr period"; "great DISTRESS" (Lk21) was the 70ad events]