Your forgiveness process suggests that we need to take time before we forgive. Is it ever all right to start forgiving from the very beginning, when the hurt is fresh because the injustice just happened?
Most people are not ready to forgive right away because they need a period of calming down, of being angry, and of exploring what happened. This, however, does not imply that no one begins to forgive immediately. If you are treated unfairly and are well-practiced in the art of forgiving, then going ahead right away with some of the forgiveness exercises is fine. This might include, for example, beginning to see the inherent worth in the one who hurt you.