Well we did mention that the affair you had probably had affected her much worse than you thought. Although if she was unhappy, then an A was definitely the wrong way to go. Just as wrong as you blowing her off when you had the A.
IMHO, here's what you need to do.
Continue to change for the better and concentrate on yourself and your kids. The next time she gets into you about her A, calmly tell her that you had apologized and are changing for the better. And that how she acts towards you is her decision. Then walk away.
M-43 W-40 2D - 9 and 5
Emotion, yet peace. Ignorance, yet knowledge. Passion, yet serenity. Chaos, yet harmony. Death, yet a new life.