She always asks if it is okay if she goes. I find the asking weird. She is also whishy washy about going. "Can I go now or do you want me to wait until...?"
I am sorry to say that this is almost always a sign that there is OM in the picture. She is feeling guilty and that is why she asks if it is "okay" if she goes. She has also gone on a couple of "business trips" in the past couple of weeks. This is another sign of potential OM... Business trips....
The other signs are that no matter what you do she isn't willing to work on the relationship and you say she is wearing and then not wearing her wedding rings. If there wasn't someone else, she would have no reason to at least try to work on the relationship.
I have found that people in your position usually want to deny there is OM. I would bet that there is one. It is usually the case when they act like your wife is acting.