[cardanome]

It is fine to cut out people that betray your trust. You don't owe anyone to give them a second or third chance.

If it is a minor thing and you think they can change and you are willing to keep trusting them, sure forgive them. Otherwise either change or cut your relationship to a new level of trust that expects them to do what they have done once.

The only mistake is holding grudges while keeping the relationship. That is unhealthy. You shouldn't feel bad for cutting out people. And you don't have to forgive. You just have to accept what happened, act accordingly and maybe stop dwelling on it. Acceptance does not need to be forgiveness.