I honestly don't believe their was physical abuse. Psychological abuse? Sure. Corporeal punishment? Most definitely. But if she really was physically abused, I don't think at all that she would hide it, considering the unflattering picture she already paints of her household (the original article is down, have a
web archive instead).
I mean, we don't have to jump to any conclusions on the home front. She's painted a stark enough picture. I say she was possibly sexually assaulted. Not by her father, but by someone else. Maybe a close family friend or another family member. Maybe her father didn't believe her when she came forward, which is a common enough issue. It would explain her earlier crippling fear of sexuality or even romance (she outright asked for an arranged marriage), which is extreme even for a sheltered girl like her, and why she's so hypersexual now.