Murty has a chance to win over the doubters when he leads his Rangers side into battle against Celtic later today at Parkhead. "I didn't enjoy it during the game but now I'm satisfied with what the guys have done".
Most of the first-half action had been at the Rangers end, but the visitors had their best chance to go ahead soon after the restart when a counter-attack saw Daniel Candeias crossing from the right.
"But I thought the game lacked quality to be fair, I thought it was a bit frantic, which these type of games are".
Murty said he was proud of his players for their gritty display after Craig Gordon made a number of great stops to keep the Light Blues at bay. We have to be ready for that and stand up to it. Just one of them games when we didn't have too many opportunities but his physicality was important for us.
David Bates came off the bench in the 18th minute following an injury to Bruno Alves and Murty was delighted with the 21-year-old's display.
"So throwing him into a cauldron like this, I didn't have a second thought".
"For the moment I am going to go back in the changing room, pat the players on the head and tell them that I'm proud of them."
He said: "I was really impressed with Rangers they played well second half".
Rangers beat Motherwell on Wednesday to stem a losing streak at two, while Celtic has won three-straight - all clean sheets - since Hearts ended their domestic unbeaten run at 69 matches. Once they go onto the pitch you have to trust your players to go out and play.
"I want more days like this. We can certainly get better at building up the play and we can certainly get better at moving the ball quickly but in terms of intensity and effort for the full 90 minutes that is where we needed to be", he said.