confront her,
tell her you know what went on during her recent trip,
don't give her any specifics, just tell her that you won't be disrespected anymore in your own home and you definitely don't want an open marriage where one of you can pursue "relations" with another person and tell her that she can find somewhere else to sleep, the couch in the basement will do just fine.

Just as long as YOU don't leave the bedroom, that would be a huge mistake, along with YOU moving out of the home, don't do it.