It was a powerful and emotional build-up to the game, which was due to be played on Tuesday but was postponed for a day as Glasgow police resources were strained following the Queen's death last Thursday.
The 96-year-old died at his Balmoral castle in Scotland.
Rangers have always had strong ties to the British monarchy and asked Uefa to play the British national anthem "God Save the Queen" before the match.
Liverpool had no such wishes ahead of their meeting with Ajax on Tuesday.
Uefa offered Rangers to waive the Champions League anthem but refused to play the national anthem.
When the players came out at Ibrox where 50,000 fans had gathered, the match was preceded by a minute's silence and then the national anthem was played anyway, with many of the spectators singing along.
A gigantic tifo in Union Jack colors and a portrait of the Queen filled an entire section of the stands.
It is unclear whether Uefa will take any action against Rangers.
Expulsion and double penalties saved
The match was level on 55 minutes when James Sands was sent off for the home side after his second gold card and caused a penalty.
Rangers' 40-year-old goalkeeper Allan McGregor saved the penalty from Piotr Zieliński and Matteo Politano fired the rebound into the goal but VAR showed he had gone too early in the penalty area and the penalty was overturned.
This time McGregor saved again.
13 minutes later, Napoli were awarded a penalty again and then Politano made it 1-0, although McGregor came close to saving it.
With one man sent off, Rangers couldn't resist and two late goals made it 0-3.
Local rivals Celtic had an away match against Ukrainian Shakhtar Donetsk, a match played in Warsaw.
There they refrained from holding a minute's silence, there was permission for that, but both teams played in black mourning bands.
The Celtic fans had several banners where they insulted the Queen.
That match ended 1-1.