The worst blow was the almost certain loss of Kris Commons for Tuesday night's Champions League match against Ajax, but a Hibernian goal that looked well offside, and a plethora of missed chances, made it an afternoon which Neil Lennon will not look back on fondly.
The Celtic manager also lambasted the home side for their tackling, but it was harder to see where he was coming from on this, despite a bad, late challenge by Rowan Vine. Hibs adopted a robust, tight marking approach which pleased Pat Fenlon, but hardly merited Lennon's verdict of "absolutely shocking".
"At the start of the game we might have been happy to take a point," said the Hibs manager, "but when you're leading for so long you're a bit disappointed you haven't picked up the win - although in fairness it was a really good finish for their goal.
"We have had to defend really well, particularly in the second half when they were throwing a lot of balls into the box and had bodies forward. Our shape was good today. We put Owain Tudur Jones in front of the back four because we knew Celtic would get a lot of players central and we wanted to get people tight."
Fenlon shrugged off Lennon's suggestion that his team's tackling was at times reckless. "Good," he said. "That means the message is getting across to my players. We want to compete and get in people's faces. I think most of the tackles were fair. There was one in the first half they moaned about, but it was a good tackle, a real good challenge."
Although annoyed at not taking all three points, and morose at the loss of Commons for the Ajax game, Lennon could not fault his players for effort. "I'm pleased we got something out of the game because it's the least we deserved," he said. "It's frustrating that we missed that amount of chances, but the way we reacted to a clearly offside goal was fantastic. Their goalkeeper made three or four magnificent saves."
Celtic gave a first league start to 19-year-old English right-back Darnell Fisher and Commons had a couple of chances to put the visitors ahead before Hibs took the lead with a highly contentious goal. Kevin Thomson won a midfield scrap against former team-mate Scott Brown and slid the ball forward to Paul Heffernan.
The Hibs striker's run-off against Fisher appeared to have been too fast, but the flag stayed down, letting the former Kilmarnock player fire in a shot which hit Fraser Forster's leg before crossing the line.
Two minutes before going off injured, Commons missed another chance. He was well placed for his chip over Ben Williams, but the ball went just over the bar and it was the midfielder's last contribution of the afternoon as he signalled to the bench he could not continue after falling down clutching his leg. Although Lennon was uncertain about the extent of the damage to the hamstring, he conceded it will almost certainly rule out one of his key players for Tuesday night's match.
The replacement was Forrest, which involved a reshuffle of Celtic attack, but the Hibs defence and midfield continued to close down the new unit well. Nevertheless, even with their defensive blanket, Hibs could have found themselves on level terms, or worse, at the interval.
Williams did well to block a Georgios Samaras shot, but Celtic's best chance of the half fell to Teemu Pukki. A mistake by the Hibs goalkeeper allowed Forrest to find the Finn just six yards out but he waited too long before shooting, letting Ryan McGivern, outstanding in the Hibs defence, get a foot in to block the shot.
Celtic inevitably cranked it up in the second half. Hibs did well to stop an equaliser when Beram Kayal's fierce shot was parried by Williams. It seemed the ball must fall to Samaras but again a timely Hibs intervention, this time from Nelson, prevented anything worse than a corner.
With Celtic's efforts becoming increasingly urgent, relief finally arrived in the 77th minute. Forrest cut in from the right and curled the ball past Williams with the outside of his right foot. Left-back McGivern was off the pitch receiving treatment at the time, but it was not the first time that Forrest had succeeded in bursting into the box from a similar position.
Celtic, and Forrest, had a last chance to claim all three points, but Williams made a terrific block from his shot.