Mandazzle, I don't know the particulars of the situation, but if you're sure you did something you wished you hadn't and feel it necessary, then apologize. That's it. Don't go overboard, you're human. If you are stressed and acted out, or such, then yeah, say so. If it's something that wasn't under your control, don't feel guilty but you might express to those you fear you've pushed away, that you "wish things had gone differently, how can "we" fix it?"

Otherwise, learn from it and go on.

TC