HP: You know, five minutes after she caught me lying, and I was still smarting from it, and enduring her silence, she turned to me and said, "You know, you haven't even apologized yet." What this did, of course, was that it rendered any subsequent apology meaningless. I told her this. I also told her I was sorry. She said I was right, that it was pretty meaningless.
I'm thinking about sending her an email with the essence of what you mentioned in your post. I'm letting stuff sink in, though, because I know that rushing in to try to fix this won't work.