I don't see why she needs to know anything further especially when career stability is an issue of hers even though I was always stable before any of this ever happened.
I think its call HONESTY. Its something that successful marriages thrive on. People who are sneaky and lie and hide things are usually considered untrustworthy. Something else that you rely on in your marital partner is being able to TRUST them.
I don't see much difference in this then your wife hiding her man friend. You lie. She lies. You hide. She hides. You have secrets. She has secrets. And you want to reconcile?
At what point do you flip back on the integrity switch?