I'm going to tell you from my first hand experience. I apologized to my W against every piece of advice that was given to me. I had too, it was part of MY healing. However, I did NOT apologize for feeling the way I felt when I found out. The things you say on that day, no man or woman should ever judge you for doing the same thing...EVER! It's a lot of pain and shock. Heat of the moment. Think about how many people over react and shoot the ones they love when they hear this first fact. Your anger that day, could have been worse, but it wasn't. That day is over friend. It's over.
Now, you face pain and fear. The only apology you owe your W is to change and be a better man than you EVER were. Be accountable for your part in the marriage, be a better man, be a pillar of strength, and a MAN who knows what he wants. Your apology needs to be spoken in action. Anything you feel regret over, needs to be addressed and bettered. Words will NOT MEAN $h!T to your W. Not yet.
Actions only. Picture your W dead, gone, and nothing but a memory Johnnie.
With that visual...what would Johnnie do to make himself happy? What would Johnnie do with his kids as life goes on? Harsh visual, but remove her from the sitch and you will have an answer on what Johnnie does to GAL. Free do over. What would Johnnie do differently?