Kim Kardashian at the 2011 Glamour Woman

Kim Kardashian is not too happy about the story and she's threatening to sue: 

TMZ has obtained a demand letter, written by Kim's lawyer, threatening "In Touch" that if it ran the cheating story Kim would take legal action. The letter put "In Touch" on notice ... the cheating allegations "are, at a minimum, damaging, defamatory, and an invasion of her privacy." 

Kim's reps tell TMZ ... Kim has never even met or spoken with Lockett. 

Nevertheless, "In Touch" is publishing the story in its new issue. In the story, Lockett is quoted, saying, "I knew this was a game to her, and this is what she does." Lockett adds, "She pursued me." 

I love how Kim's lawyer says the allegations are "an invasion of her privacy." Um, we're talking about Kim Kardashian here, not Malia and Sasha Obama. You can't live your life in front of an E! cameraman and then play the "privacy" card when something negative comes out about you. For Christ's sake, she had TV cameras at her damn proposal. STFU about privacy. There's literally only one thing I've never seen Kim Kardashian do, and that's why bathrooms have doors.