Several words come up over and over again on this site that I’m not sure anyone has a precise definition for; love, reconcile, forgive.
I don’t know what "forgive" means in the infidelity context.
Here’s what Webster says(heavily redacted)
1. to cease to feel resentment against (an offender)
2 b : to grant relief from payment of
//forgive a debt
So, can you cease feeling resentment? Can you just decide that you’re going to stop feeling resentment, or is that something that just has to happen on its own? I don’t know.
How about granting relief from payment? A little more to work with, here.
What does she deserve? Your anger? Consequences?
Maybe you stop being mean, even though she deserves it. Don’t out her to family and friends, the community, even though she deserves it. Don’t punish her by leaving (leaving for your sake is ok), or take revenge, even though she deserves it.
Doesn’t seem fair, does it, doing things to help her, when she is the one who should be suffering the most.
Maybe that’s why it fits the definition of "forgiveness."
I don’t know. Wiser folks will come along.