Rangers wasted numerous chances to increase their advantage and paid for their profligacy when teenager Bruce Anderson fired past Allan McGregor deep into stoppage time to rescue a point for the hosts.
He looked set for a successful start in the league when his team recovered from having Alfredo Morelos sent off early on to take the lead through James Tavernier's penalty.
"I think we were hooking up well and then it had to be a different way to go and get a result". Aberdeen didn't have any idea against us, and for 93 minutes it was ideal. "Aberdeen only had one idea and it was to lump it into the box".
Steven Gerrard refused to be drawn on a potential Rangers title challenge on Friday, saying the club are under enough pressure already as fans' hopes grow that they can depose Scottish Premiership champions Celtic.
Gerrard said the aim was to have strength and variety in every position to allow Rangers to make a sustained challenge.
"The first 12 minutes when we had a eleven men I think we were picking it up in the pockets, Josh, Alfredo and Murph were coming into nice wee pockets with the midfield three".
"I'm sure Derek is trying to pick his players up, but it's a great game for them to bounce back in as I'm sure they will want to turn us over".More news: NASA names astronauts for first manned US space launch since 2011
More news: Call of Duty: Black Ops 4 - Multiplayer Beta Trailer
More news: Blackberry released the most secure smartphones on the Android OS
Former Rangers boss Graeme Souness does not think it is impossible for the Gers to overtake Celtic as he does not feel Brendan Rodgers' men are overly strong.
"There is a decision to make for the penalty, it is red card, is it a yellow card so everything seemed to go against us.""We're certainly going to need the fitness levels on Sunday because it will be a fast, intensive game".
"I think you'll find today both teams will be exhausted".
"You leave the referee with a decision if you kick out, but the disappointing thing is he has been barged clearly and whoever's spotted the red card should have spotted that too".
Sportsmail understands Bournemouth's Jack Simpson will become Gerrard's eleventh signing of the season this week, with the 20-year-old left-sided defender poised to sign a season-long loan deal.
Asked if Rangers would appeal against the Morelos red card, he said: "There are always emotions straight after the game".