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Kristen Taekman Instagram

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Real Housewives of New York City stars Josh and Kristen Taekman have maintained a public front despite it being revealed that he once had an Ashley Madison account, and they've spared no detail to let it be known that they're still very much together.

"They honestly love each other. She may hold this over his head for a while, but I believe she'll stick with him. I just don't see them separating," one source close to the reality star couple told E! News.

In fact, the insider added that the two "are fine. Kristen believes him. They're shrugging it off."

The two held a special 10th anniversary party in the south wing of NYC restaurant Tavern on the Green recently in front of approximately 60 friends and "Kristen and Josh seemed very happy at the time."

"Josh is embarrassed but he's telling friends that in terms of the marriage, it's a non-issue. They are not going to split over this."

According to a second source, Kristen has been on the receiving end of support and well wishes from her Housewives co-stars.

"Everyone from the cast is handling it differently," the insider said. "Some of the women have held off on calling her because they want to respect Kristen's privacy. Others have reached out. They all have summer homes and a few of the women have let Kristen know that if she needs a place to get away or clear her head, she's welcome to come and stay. Kristen has thanked them for their support."

Earlier this week, shortly after the big Ashley Madison reveal, Josh released the following statement:

"I signed up for the site foolishly and ignorantly with a group of friends and I deeply apologize for any embarrassment or pain I have brought to my wife and family. We both look forward to moving past this and getting on with our lives."

Meanwhile, footage of the couple's anniversary bash will air on an upcoming special episode of The Real Housewives of New York City on Thursday, Sept. 3, at 9 p.m.

(E! and Bravo are both part of the same NBCUniversal family.)