Calum McGregor told fans to not worry about the league, as it is still early days and they’ll bounce back.
The champions were hard pushed for the draw this afternoon – as the Ayrshire side earns a three points.
Now, of course, it is too early to make any predictions for the season or how it will play out over the rest of the season, but that doesn’t seem to change the opinions of fans.
Celtic did take the lead from a free kick when Christie caught out the goalie, Danny Rogers.
But Chris Burke did manage to equalise for Killie via the penalty spot, after Kabama went down because of a Jullien tug.
Fans do need to remain calm, McGregor said: “Yeah, exactly. There’s a lot of football still to be played.
“That doesn’t detract from us being poor. We understand that and we take responsibility for that as a group.
“We apologise to the fans for dropping the points, but the message is to stay calm.
“On another day you nick it and everything is rosy in the garden, but it was one of those days and you have to take the criticism and move on.
“If you get too excited one way or the other then it can always change quickly.
“That’s something that’s good about football, you always get the chance to rectify things pretty quickly.
“We take stock and look where we can be better and, come Wednesday, we have to show a reaction.”
On the disappointing Rugby Park show he said: “It was frustrating, of course it was.
“It’s the second game in and we’ve dropped points and given ourselves some work to do.
“Performance-wise, it wasn’t good enough from us, but we get a point, we need to take it and move on.
“We need to be positive. It’s the second game of the season and there’s a lot of football to be played.
“We certainly have to learn from today, but there’s another game on Wednesday, so we pick ourselves up and go again.
“We just never managed to get the goal.
“There was probably spells in the game where we were dominant in terms of possession and pinning them in, but probably just that final bit of quality was missing.
“It’s something we’ll look at as a group and go again.
“It’s disappointing, but we’ve got to pick ourselves up.”
McGregor added: “I think so. You can easily get bogged down and start picking too many holes.
“We know where we went wrong, the final pass and the wee bit of quality was missing and we never defended properly.
“But we need to stay positive. As I said, there’s still a lot of football to be played.
“You get days like that where it doesn’t quite go in for you.
“You’ve then got to keep the back door shut and that gives you half a chance.
“We’re disappointed just now and we know we’ve let ourselves down, but we’ll look at it and go again for Wednesday.
“It’s a team game, everybody takes responsibility for the performances and results.
“And when they don’t go the way we want them, we look at both ends of the pitch and see where we can do better.
“We’ll sit down and speak about it as a group and try to get maximum points on Wednesday night.
“There’s obviously been a big break.
“You can look at pre-season and the fitness work has been excellent, but you don’t quite get that match sharpness until you go into the games and find that extra wee bit.
“It’s early, but we always put ourselves under pressure to perform well and win every game.
“When it doesn’t happen we look at it and try to rectify it for the next game.”