Khloé Kardashian Slams Jordyn Woods: 'You ARE the Reason My Family Broke Up'

Khloé Kardashian doesn’t believe Jordyn Woods’ story about the night she hooked up with Tristan Thompson.

Woods appeared on Jada Pinkett Smith‘s Facebook Watch talk show, Red Table Talk, on Friday to address the cheating scandal for the first time. During the talk, she admitted to kissing Thompson but denied sleeping with him.

Kardashian immediately called out the model on Twitter, accusing her of lying.

“Why are you lying @jordynwoods ?? If you’re going to try and save yourself by going public, INSTEAD OF CALLING ME PRIVATELY TO APOLOGIZE FIRST, at least be HONEST about your story. BTW, You ARE the reason my family broke up!” she wrote.

She then tweeted: “Tristan is equally to blame but Tristan is the father of my child. Regardless of what he does to me I won’t do that to my daughter. He has been addressing this situation PRIVATELY. If Tristan were to lie publicly about what conspired,then yes I would address him publicly as well.”

During the emotional interview, Woods claimed Thompson kissed her as she left a party at his house following a night of drinking.

“On the way out, he did kiss me,” she said, clarifying that there was “no passion, no nothing … he just kissed me.”

Woods admitted that the next day, she told Jenner and Kardashian that she had been at Thompson’s house but not about what happened.

Woods insisted she is “no homewrecker,” saying, “I know I’m not the reason Tristan and Khloé aren’t together.”

Still, she said she’s “not here to play the victim.”

“I didn’t tell the truth to the people that I loved,” she said. “Not because of malicious intent, but because I was just scared.”

A source previously told PEOPLE that the Kardashians were “pissed” that Woods — who has moved out of Jenner’s house — might try to make amends on the show. According to the source, Woods signed an “ironclad NDA” with the family. (A representative for Woods did not comment when contacted by PEOPLE.)

“She can’t talk about the family, so it’s unclear what she’s going to be able to say to Jada,” the source said. “She can apologize but can’t talk about anything really beyond that in terms of the family.”

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The source added that “the Kardashians are feeling 100 percent done with Jordyn.”

Thompson, 27, was first caught allegedly cheating on Kardashian, 34, last April when photos and videos surfaced of him getting close to other women just days before she gave birth to their daughter True. Though she initially forgave him, they had been living apart since the fall, and a source told PEOPLE last week that things “never really went back to normal” between the couple.

Woods entered the Kardashian orbit as the best friend to Kylie Jenner, and the two met as children through Pinkett Smith’s son Jaden Smith.