Dear Getting Past the Past:
A parent is always a parent no matter how old the child. And amends usually begin with "I'm sorry." Not, "I'm sorry you feel that way" or "I'm sorry, but you don't really understand...." because these are not apologies. These are deflections. A child that feels wronged by a parent is looking for accountability. Past wrongs can't be undone, but hurts can be healed when the injured party hears, "I'm sorry I hurt you. I'm sorry I was not a better father to you. I know that I let you down. I know I failed you when you needed me most. If I could do it all over I would do things differently. I would love you less selfishly and I would treat you like the special daughter you were and are. Please forgive me."
If the daughter in question is anything like me, and I'm guessing she's exactly like me, then she's not looking for much more than a heart-felt apology, but she will not be able to settle for less. Some people cannot forgive and forget without someone accepting responsibility and some people are incapable of accepting responsibility. Perhaps this impasse is the defining characteristic of a relationship that was destined for failure.
I feel confident when I say, the daughter will not yield. She has probably lived without her father for most of her life and lived quite successfully. She probably has a life full of family and friends. She probably has much happiness. With or without her father.
Still, apologies, real apologies, work wonders.