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Hello and thank you for using JustAnswer. It is much too early for any child to manifest symptoms of Borderline Personality Disorder (BPD) as part of the criteria for that disorder is that the individual be at least 18 years of age. So if her therapist states that she displays symptoms of BPD, I would strongly recommend that you get a second opinion with another psychologist or psychiatrist. Also looking at pornographic images online is not part of the criteria for BPD at all and instead is actually considered a relatively normal part of childhood sexual development. As for this behavior I would recommend that you do provide some punishment like taking away her Ipad and preventing her from going to the dance, but I would also recommend some constructive punishment as well meaning that she should be doing something that helps the household or the community and this can mean doing more chores, a project (painting a room as an example) or volunteering. Constructive punishment like this has been shown to be more beneficial to children than just taking away something from them.
Please let me know if you have any other questions or concerns as I would be happy to continue assisting you regarding this issue.