Kate Gosselin of “Jon & Kate Plus 8” vowed Thursday to survive the tabloid firestorm that erupted over allegations that her husband cheated on her, a charge he denies.

Rumors of an affair have been lingering since February 2009. These past few weeks things really picked up. Us Weekly claims that Jon & Kate Plus 8 dad Jon Gosselin, 32, has been having an affair with third grade school teacher Deanna Hummel. However, within the same week Deanna Hummel, 23, tells PEOPLE exclusively, “We’re just friends. It’s absurd that anyone would think otherwise.” Jon Gosselin has released his own statement this week too, “Like most people, I have male and female friends and I’m not going to end my friendships just because I’m on TV. However, being out with them late at night showed poor judgment on my part. What makes me sick is that my careless behavior has put my family in this uncomfortable position. My family is the most important thing in my life and it kills me that these allegations have hurt them.”

Kate Gosselin on the Today Show