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Kim and her sister Kourtney Kardashian continued their media blitz on New York City, stopping by The David Letterman Show last night. And apparently, Kourtney was feeling a bit feisty!

VIDEO: Kim Addresses The Beyonce Rumors and Pours Her Heart Out About Kris

Kim was in the middle of explaining the details of her divorce to Kris Humphries, saying: 

“I don’t really know ‘cause even if we got an annulment – I would love to give him one but then that would make – the only legal way to get an annulment is if fraud were involved, so that’s what tricky. So he is suing me for an annulment based on the fact that I frauded him into marrying him for publicity.”

That’s when Kourtney chimed in with the knockout blow: 

“But I think if she was going to do it for publicity, she’d pick someone that people knew.”

Ouch! You can check out the video below.

DETAILS: Kim Gushes Over A Night With Kanye 

In the meantime, with their New York whirlwind promo tour over, maybe Kim will finally have time to discuss baby names with Kanye West!

During another one of her media stops, Kim revealed that they aren’t exactly set on a “K” name: 

“We’re not sure yet,” the mom-to-be told E! News, adding that she and West still “have to think about” whether they’ll give their future son or daughter a “K” name to carry on her family’s tradition. “I have to discuss that with my boyfriend to see where we are. But we’ll keep the name private, I think, whenever we decide.”

Kim is all set to be a more private person, because she’s finally starting to feel like she has shared a bit too much about herself. 

“I feel like I have divulged so much in the past. Not that that was wrong, but I just choose to be a little bit more private this time around, just for me and my family.” 

We think this could be Kanye’s influence … who’s with us?