The ultimate betrayal

My wife, well soon to be ex I suppose, cannot reconcile with me over a terrible mistake I made. My goal here is to get some feedback on whether or not others agree that it is something that cannot be overcome. We were together for five+ years, and have two children together. We separated, although stayed living together and moved to an island together. We separated over many issues, but none of which couldn't be worked through. But, while separated, I made a terrible choice and had sex with her aunt while she was visiting us. There was alcohol involved of course, which I have stopped drinking. Also to complicate things, when together we were polyamorous, a type of open relationship. She had made comments to said aunt about us hooking up. I was present for those discussions, so I know they happened. So the aunt supposedly thought it was ok, and really pushed me that night to do it. After it happened I did lie about it because I didn't want ww3 in house, but came clean days later. I know what I did was wrong, and I have apologized to not only my wife but everyone involved, including family members because of the strain on the family we caused. My wife says it's an ultimate betrayal and she can never reconcile with me over it. Please feel free to ask questions because this is obviously a very complicated situation. But I really want to know if anyone could reconcile with their spouse after something like this. She has asked me if I could, and in my heart I know I could. I don't want my kids to grow without mommy and daddy at home, and I love my wife more than words can say. I made a mistake, and regret it every minute of every day. I still live with them all, and still work to support them all so she can stay home with them, so I really am trying to figure out where to go from here. Thanks in advance for a response.

its terribly uncomfortable for her with a family member and you,give it time and let her decide what she wants.Counseilling can help and as for kids they have 2 loving caring parents who are there for them married or not