About a year ago, my wife did something that hurt me to the core. She has not apologized, and does not feel responsible because her actions lacked the intention to cause pain. I don’t wish her any ill will, nor do I want to hurt her back. While I believe I can forgive her, even without an apology, is it inconsistent with the notion of forgiveness that I feel she cannot remain my wife if she will not take responsibility for her part in my suffering?
Yes, it is inconsistent to both forgive your wife and to consider leaving her for the hurt she caused you, especially when her action appears to be a one-time act that was not repeated. To put in perspective what I am saying, I think you may have a good case against your marriage if: a) she showed a pattern before marriage that made it impossible for her to be a wife to you; b) she continued this pattern that is so extreme that she was not a wife to you during the marriage, and c) it appears, from the counsel you receive from competently wise people, that she does not have the capacity for the future to truly be a wife to you.
Perhaps you both need to sit down and revisit the hurtful event from a year ago. She says that she never intended to hurt you. Sometimes, intentions that are not directed toward the unjust and cruel nonetheless are morally wrong. Here is an example: A person at a party knows that she will be driving. Yet, she drinks and then drinks to excess. She gets behind the wheel of the car, drives, crashes into another car, and breaks the leg of the other driver. She did not intend wrong. She tried to be careful even though she had too much alcohol in her. The act itself was negligent even though there was no intent to break another person’s leg. It was negligent precisely because the consequences of driving under the influence can be dire even with the best of intentions.
Does your wife see this: one can act unjustly even with intentions that are not leaning toward doing something unjust? Do you see this: Her actions, though hurtful to you, may not have been unjust? Try to have a civil dialogue about these issues. And continue to deepen your forgiveness and to see that your avowed commitment to your wife is far deeper than one even enormous hurt that she inflicted on you.