HOUSTON — An Alabama woman who accused Jay-Z and Diddy of raping her when she was 13 years old sat down with NBC News to recount what she called a “catastrophic event”: a limo ride to a white house, a drink that made her feel woozy, a sexual assault by rap stars that would ruin her life.

But the woman and her lawyers also acknowledge that there were some inconsistencies in her account in response to questions from NBC News.

“I have made some mistakes” in recollections of that night,…