David Murphy’s foul on Mauro Formica in the 13th minute let Ruben Rochina fire Rovers ahead from the penalty spot, leaving Blues with work to do to impose themselves in Lancashire.
But the predatory Marlon King soon replied for Birmingham on 17 minutes, ensuring the visitors more than held their own at Ewood Park.
Clark told bcfc.com: “We showed great character. It’s easy to buckle but we showed great character and we finished the first-half on the front foot and maybe we could have went in (at the break) in front.
“And we started the second-half really well, (with) Nikola Zigic heading one just wide. They had a bit of a spell where they dominated a bit of possession but they weren’t really hurting us. The reason I can say that is because (Jordan) Rhodes didn’t get any chances and because I know very well if he gets a chance, he usually scores.
“We defended well as a group and then as I said; towards the end we had some good situations where maybe we could have nicked it.”
After pulling level, Blues forced Paul Robinson into a number of saves, especially in the latter part of the second-half.
Despite the open nature of the contest as the afternoon wore on, Clark was satisfied with both the result and performance.
The Blues boss added: “When you come away from home to a place like this, after the game you’ll settle for the point. I think both teams maybe felt they could have taken all three (points). I think our team has worked Paul Robinson more in the second-half than Blackburn have worked my ‘keeper.
“When you go away from home you’re delighted with any positive result. I thought my team passed the ball well at times. We started the first-half quite average and I’m glad the penalty situation happened when it did, because it gave us a little bit of a wake-up call.”