I'm speaking as a psychologist with extensive training on working with sex offenders. I'm not here to offer you any formal professional advice, but I will leave you with a few things to think about.

I'm having a hard time with your story. Something feels off. It's actually a bit concerning to me.

Not for one second do I believe that your husband, a self-identified pedophile, has not acted on his sexual desire for children. Many sex offenders are disturbingly convincing when it comes to lying and living their double lives. Pedophiles frequently offend numerous times before, if ever, getting caught. Whether you believe him or not, or whether or not you caught him and you're giving him a second chance if he's goes to therapy, take a step back and look at what you're doing.

People seek therapy when something problematic or distressing in their lives begins to impact their ability to function on a daily basis. Why go to therapy if he's got these sexually deviant urges under control? You two don't plan to have kids, he's not around kids at work, sooo....is his temptation such that he can no longer continue to control his desire to go after a child? I don't think you'd be asking about therapy and potential investigations if you really believed that he had never, nor would ever, assault a child.

You're in a difficult situation, and someone you care about needs help, but so do you!! Help yourself by talking to someone and educating yourself about pedophiles, sex offenders, sexually deviant behaviors, victimization, etc. Take care of you.