Well, darkness can't stand the light. It makes a lot of sense that your W has lost her faith. She committed an awful sin, and although it's forgiveable, the heart that she had that allowed her to do that probably isn't the kind of heart that will be broken before God over it. If you don't already, you should really see this as a spiritual battle. This will help keep you from hating her or becoming bitter, and it will help you to approach her in a way that will be pleasing to God. You probably already do this, but if not, you should pray for your W continuously. Only God can pull her out of this. The Bible doesn't mince words, and if we claim to believe in God then we also must believe his word. The act of adultery is not a sin that can just be wiped away. What I mean is, unless she reconciles to you, her husband, or if she remains single and celebate, she will forever be an adulterer, and there are many new testament scriptures that warn about certain people (adulterers included) who will not inherit the kingdom of God as long as they live that way. Divorce is not an option in God's word, unless you are the grieved spouse of an adulterer, in which case you are free to divorce your spouse (but this is still not God's preferance), so for your wife to repent she must leave her adulterous life and be fully reconciled to you. Anything short of that is not repentance. You should really seek out all scriptures pertaining to marriage, divorce, and adultery. It's very scary stuff, but fearing God is the first step to loving Him.