Staying By Her Man: Anna Duggar Takes 'Some Blame' In Josh's Cheating & Porn Scandal, Turns To 'Her Faith'

Despite her husband being a self-admitted "hypocrite" with a "secret addiction" to pornography, Anna Duggar will likely stay by Josh's side through the family's latest scandal.

Josh first released a public statement Thursday afternoon, admitting to numerous discretions after his secret profile on Ashley Madison, a site dedicated to arranging extramarital affairs, was uncovered by hackers.

But that doesn't mean wife Anna is going anywhere fast.

"Anna will not leave him," a source close to the family told PEOPLE. "As with her in-laws, she is turning more to her faith than ever. She and Josh are probably praying around the clock right now, I would assume."

According to the insider, divorce is out of the question for the conservative couple, adding that "on some level" Anna is trying to "absorb some of the blame."

"Maybe not publicly, ever, but privately, there will be some suggestion of whether or not she should have been more aware of the pressures Josh was under, of the issues he was facing, and how she could have better counseled him or helped him," says the source.