I'm not trying to be mean, but in these situations, I always wonder... Why isn't the spouse your go-to person? What about this other person makes you trust them more than the person you vowed to spend the rest of your life with? I'm honestly just curious...

If you want to make things work with your wife, then I agree, you need to cut contact this other woman. At the same time, I think you need to work on your relationship with your wife to try to find what was missing. It might be helpful to work with a couple's counselor to maybe build trust and communication skills.