You two are ready for marriage counseling. This is not a do-it-yourself fix. You need a good pro. One that has experience with infidelity issues. You have to work those out or you'll build major resentments. Nobody could blame you, she did something worthy of major resentment.
You can't rug sweep any of this or it'll boil over in the future. Obviously she was having some issues and coped with them by cheating. She needs counseling to figure out why she did that or no matter how much she says it was a mistake and would never do it again, she might. My own wife had such a major MLC meltdown, including a LOT of cheating, that she needed several therapists along the way to get to root causes of why she made that particular decision (to cheat). I also needed individual therapy to keep from building resentment, because I was harboring MAJOR resentments. When we were healthier individuals then we engaged in marriage counseling to make a healthier marriage. Obviously we had mucked it up on our own and needed a professional to help us.
No marriage will ever be perfect. You're going to have disagreements/fights again. It happens. You just want to deal with everything better in the future so there are no repeats to any of this.