To a woman in pain

How can I possibly believe in my husband after he had done something he probably shouldn't have? Your frustration is real. The hurt, the pain, the feelings of distrust, these are real. The faith that you have in your husband or that you want to have in your husband can also be real. What he did, I'm not saying is okay. That is not the only version of him. There clearly is a version of your husband that you do want to respect and that you have respected and believed in in the past. And clearly that hope is there, which is why you'd reached out. You look for the qualities that you want to see in your husband and help create an environment where you'll see more of that. That will foster more faith, more trust, and help heal the pain.