Levein said: "The only thing I was concerned about was that Paul Dixon was all right and I'm happy now.
"Christian got a yellow card and he came to see me and apologised at the end of the match. Good on the lad.
"I started shouting at him and I shouldn't have done that, so I apologised to him, just to keep everything right.
"(Referee) Willie (Collum) gave me a bit of a dressing down for jumping up and down and waving my arms but he dealt with it and fair enough. I'm glad that Paul Dixon is all right."
Levein was happy enough with the point in the goalless draw.
He added: "I arrived here having looked at Hearts' recent matches and the last thing I was going to do was play into their hands today.
"They're set up a certain way, to hit on the counter-attack and they've got fantastic players for that - Andrew Driver, Bruno Aguiar, Christian Nade and Laryea Kingston.
"I wasn't going to arrive here and make it easy for them. So we set up a certain way, we kept it tight and kept it tight and then we kept it tight.
"Then they kept it tight and kept it tight - and the end of the game arrived.
"I'm not coming down here with my team to make the running against a very good Hearts team and play into their hands.
"But in all honesty I felt as comfortable as I have done here as a manager in the fact we weren't going to lose a goal because I didn't feel we looked in danger."