You're on target! On a side note, I think Danielle is a good enough actress that she should be getting more leading roles.
From the link below:
Benson asks Huang if Carrie has a mental illness that might mitigate her sentence. After interviewing Carrie, Huang diagnoses her with Premenstrual Dysphoric Disorder, PMDD. He says that Carrie was on her period, and that she didn't remember any of her attack on her mother (two common symptoms of PMDD). Still, Benson is convinced there is something else to the story; she found Denise suspicious from the beginning.
Upon arriving at Carrie's apartment, Benson begins looking through the cabinets and refrigerator. She finds many bottles of vodka and rum. When Elliot arrives, Benson says, "She didn't care about her daughter, she was only concerned about where her next drink was coming from!" (Benson's mother was also an alchoholic.) Stabler also makes a stunning discovery. He finds birth control pills, showing that Carrie was on the eighth day of her period, not her sixth. This rules out Huang's diagnosis.