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As the Hilton familyheads to St. Bartsto celebrate the wedding of Kathy Hilton’s third-born,Barron Hilton, to socialite Tessa Gräfin von Walderdorff on Saturday, there’s one family member who won’t be in attendance: his auntKyle Richards.

TheReal Housewives of Beverly Hillsstar is not going, PEOPLE has learned. “It’s only because she has tons of press to do and can’t get to St. Barts,” a source tells PEOPLE. “Her show premieres next Thursday.”

The reality star recently wentbehindthe camera to produce her own drama series,American Woman. The show stars Alicia Silverstone and is loosely based on Kyle’s show business-focused childhood in the ’70s.

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While Kyle’s other sister,RHOBHalum Kim Richards, is supportive and “excited” about the project, it still hasn’t repaired the rift between Kyle and Kathy. “I love my sisters and I would never do anything to disrespect or embarrass them,” Kyle said. “I’m looking forward to the show coming out so Kathy can see it and realize. That’s my hope.”

During theRHOBHReunion, Kyle also pegged her fall out with Kathy to her husband’s decision to leave Kathy’s husband Richard Hilton’s real estate company to open his own, The Agency.

“I think it started with my husbandleaving their real estate companyand opening [competitor] The Agency,” she said.

Barron’s sisters, Paris Hilton and Nicky Rothschild, have already landed in St. Barts and have been sharingbikini snaps from their time on the beach.

Paris showed off her My Little Pony Moschino two-piece (currently sold out), heart-shaped shades and a mini Chanel surfboard bag in an Instagram photoshoot, while Nicky shared a photo in a pink ruffled strapless one-piece with the hashtag “#TessaBarron2018.

Nicky also shared an adorable photo of the couple enjoying their time in St. Barts.

source: people.com