Rather than me trying to convince you all, could you just accept the premise of my question. Lets assume she isn't have any affairs now. Then what do you think of the notion of one moving out to find themselves (but not to find other affairs)?
It's rubish.
It's juvenile.
"Finding oneself" is a narcissistic endeavor.
"Finding oneself" is a selfish endeavor.
She's an adult. She married you and made vows to you. She's already disregarded those vows TWICE now (that we know of) and claims she's a "sex addict" due to these affairs and her sex life prior to your marriage. The last thing this woman needs is to be alone and unaccountable to anyone and, in particular, unaccountable to the person she made vows to and claims to love???
No therapist would recommend this.
If she says her counselor/therapist is recommending this I'd surmise she is probably lying and you'd be foolhardy to believe it.
IF it IS true the counselor/therapist is a navel gazing psycho-babbling idiot OR a male counselor that wants to counsel your "sex addict" wife night and day (kind of like internet coach Al Turtle used to "coach" his clients).
Your wife is an adult and it's time she behaves like one and puts aside childish notions of "I can hurt everyone I claim to love and instead of making amends I'm going to go "find myself" because I am still way important than everyone else and I'll get back to you when I need money or other support".
But this is really just an exercise in fantasy. You want us to presume she's not having an affair anymore merely because that is your hope. You "trusting" her isn't based anywhere in reality. I've been here on MB over 10 years and seen 1000's of stories now. When a wayward wife says I need space to find myself it's code for "you are interfering in my good time with one or more men and I need space from you because I don't want to tell you what I'm really doing, I'd might like to keep you around to meet some of my needs and pay some bills and I might like to keep my options open to maybe come back if you are a good boy and keep your mouth shut (or the other man is married and I don't want you busting us).
If you see a local therapist ask for a name of just ONE success story that you can talk to. Chance are they don't have any.