05/30/2007 AT 06:00 PM EDT
sent friends what she thought was a humorous e-mail invitation to her Memorial Day barbecue – and she can't understand why people don't get the joke.
"Let's glorify this day in your sluttiest tops and your tightest pair of Tsubi jeans, even though we have no clue what Memorial Day really means!!" she wrote. "There will be a scale at the front door. No girls over 100 pounds allowed in. Start starving yourself now. See you all then!!!"
The e-mail was quickly leaked to bloggers, who read it to mean that Richie was making fun of both Memorial Day and her own ongoing weight issues (she said last year she was seeking treatment
for what her rep called an inability to put on weight).
But Richie, 25, told Ryan Seacrest on his KIIS-FM radio show Wednesday that she can't understand the fallout: "I mean, it rhymes. Are you really going to take an e-mail that rhymes that seriously? And it's a private e-mail to my friends. I was joking and I don't think there's anything wrong with it."
The e-mail was hardly the biggest newsmaker of the holiday weekend, however: Mischa Barton
became sick at Richie's barbecue and was briefly hospitalized
for what her rep described as a bad reaction to medication she was taking for bronchitis.
When Seacrest said he'd heard a news report that Barton was rushed to the hospital after mixing alcohol and antibiotics, Richie answered, "I went to Ralph's [grocery store] because I wanted Sunny Delight. So I actually missed the whole thing."
also attended the barbecue, but Richie said she didn't see her
there: "I think she was there for five minutes. I was at Ralph's. No, I really was! I was at Ralph's for 40 minutes. I saw Mischa, but I missed Lindsay."
Richie also addressed recent rumors that she had entered rehab, saying the stories got started merely because she hadn't been photographed by paparazzi for a few weeks.
"The truth was is that I was on tour with Joel [Madden] and we were in random city after random city," she said.
Richie, who stars in the latest season of The Simple Life
with onetime enemy Paris Hilton
, said "of course" the heiress is scared about her upcoming jail sentence – and added that she too could face jail time for her own DUI charges
"I'm nervous, but I understand that I have to, you know, deal with whatever consequences come my way," said Richie, who was stopped by police and failed a sobriety test in December. "I have to take responsibility for anything."
She called the way Hilton was treated by the court "unfair" and said, "I can only hope that that doesn't happen to me, but I don't think that there's anything that I personally can do about that. The only thing that I can do is show up and fight my case."