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It is sad, as people have been saying, that this girl has no one who has the capability to parent her. I wonder about that nanny, but at least that seems like someone who doesn't mind being in her company full time. I'm shaken by the idea that her father felt like he was doing his job by having dinner with her once a week, while she was living downstairs in the same building!
But on top of being neglected, she clearly does have problems that need treatment on a professional level. It might well be Asperger's or something similar. It is infuriating that the girl needs tutors and the LW sees that as her expecting to be "rescued." If she needs it, she needs it. PlEASE understand, the GIRL NEEDS HELP. It seems like they think that if they just ignore it, her needs are going to go away.