Welcome,
Congratulations on 5 months sober. That's great.
I'm sorry your wife feels she can't forgive you. I don't know if that will change or not. You're doing what you can to stay sober so she will see by your actions that you are changing. Is that enough - who knows? Have you considered couples counselling?
I should add that I began drinking 25 years into my marriage and that continued for about 3 years. It was horrible for my husband and children. It took a lot of time, patience and hard work on my part to try to put things back together, but for me, it worked.