This is EXACTLY how my husband and one of his female grad student managed the first year of their EA under my nose, texting each other 1,000x a month, mostly late at night after I'd gone to bed. If I'd caught it sooner and exposed it THEN, I wouldn't be here now.
Your wife is lying to you and you need to bust her and tell the OM's wife ASAP. Be prepared for your WW to be nasty and vindictive for exposing her secret.
