Rose, I would think he was trying to tell you to not fret over the bad emotions (such as the regret) and just not do what whatever it was again. lol Very similar to when I respond "no worries" to someone, I guess.

Anyway, for me, an apology is a sincere admission that something wrong has occurred, and that one is taking responsibility for and trying to improve whatever area or issue that begat the apology. It's not an oath to perfection in whatever area it was (well...maybe save for "big ones," I guess. I have before accepted an apology for someone cheating on me, but there's some things that don't really get second chances ), but a sincere effort to try.