However, the Hampden side have a chance for revenge when they welcome the champs on Sunday.
The Spiders were the Ibrox side’s closest challengers and following Rangers’ draw on Saturday, QP had to avoid a loss to prevent the fallen giants from clinching the title.
However, Stuart Leslie’s second half penalty gave Elgin the lead and the Spiders were unable to get on the scoresheet.
After Tuesday’s 2-2 against Stirling Albion, Queen’s Park are now 21 points behind Rangers but remain in top spot in the playoff race, with five points seperating them from Montrose.
Queen’s had to overcome a two-goal deficit to earn their point against Stirling Albion. The comeback was inspired by Davie Anderson, who scored his first league goal for the Spiders.
Meanwhile, the postponed match against Annan will now be played at Galabank on Wednesday, with a 7.30pm kick-off.