Kate Gosselin Kate Gosselin

Jon & Kate Plus 8's Kate Gosselin says her family will "weather the storm" caused by photographs of her husband out with another woman.

"We just need to weather this storm, just like all the other storms that we've been through," Gosselin said on NBC's Today. "To be very honest, I'm very hesitant to believe any of it. It comes with the territory. We're dealing with it just like everybody else does."

Originally, Jon and the kids were to appear on the morning show alongside Kate. Instead, Jon decided to stay home with the kids and send a statement about tabloid insinuations that he's been unfaithful:

"These allegations are false and just plain hurtful. As I adjust to the attention that comes from being in the public eye, I need to be more careful and aware of who I am associating with and where I am spending my time. But the bottom line is, I did not cheat on Kate. I am sorry for putting my family in this awkward position, given some poor decisions and bad judgments I've made recently. I am working through this difficult time with my family. My family is my top priority."

Click here to watch the full interview.

Kate said on Rachael Ray that the couple's "focus remains on our kids. It has always been there and will continue to be there. One day at a time, like we've always done. One hour at a time, one minute at a time, and my life's been like that."

Deanna Hummel, the woman photographed leaving a bar with Jon Gosselin at 2 a.m., says her brother lied when he said she is having an affair with Jon. "My brother is making this all up," Hummel told People. "He has no credibility ... I can't even stomach the lies he's saying about me." Hummel also said her brother is very "shady" and possesses a "criminal background."