Forgiveness is around the corner; it is just a conversation away.
While this seems trite, if you can forgive yourself enough to be open to the conversation rather than reveling in righteousness or embarrassment, you move into a place where you rely on them to forgive you, which is their decision/responsibility.
After the apology and attempt at reconciliation, there is little more you can do, but in open acknowledgment and action, you create the opportunity for forgiveness.