Newlywed Khloe Kardashian: I've Never Been So Happy

By Eunice Oh

09/30/2009 at 03:35 PM EDT

Khloe Kardashian is basking in wedded bliss.

"I've never been so happy," the reality TV star, 24, who got married to LA Lakers player Lamar Odom on Sunday, writes on her blog. "I just wanted to take this opportunity to thank you for all the love and support I've received."

The newlyweds haven't been able to enjoy a honeymoon – Odom, 29, began training camp on Wednesday and has a preseason game Oct. 7 – but Kardashian is still enjoying her new life, telling fans she feels "truly blessed."

PHOTOS: Surprise Celebrity Weddings

And while rumors persist that the ceremony was non-binding and scripted for the family's reality TV show, Keeping Up with the Kardashians, older sister Kim insists the reports are untrue.

"I really hate all the crazy things I have been hearing regarding their wedding not being real. That is just crazy," Kim writes on her blog, a day after Odom also defended it.

"Let Mr. And Mrs. Odom enjoy being newlyweds!" she adds. "They are sooo freakin cute together!"