Honestly, I don't think Nodoka is a psychopath or a sociopath (or any other term that really just comes down to meaning "thinking different is bad")
I think Nodoka suffers from Alexithymia, aka Emotional Blindness. As intelligent and apparently boundless as she is when she comes to knowledge, she seems unable to actually understand emotions.
This is shown a few times:
Nevertheless, I think if people look past their own perception of her, they might realize a few things:
Nodoka is actually trying to help others most of the time. She's not perfect, but she's really not nearly as bad as most seem to think.
Overall: Nodoka isn't some kind of Sociopathic Satan. She's just complex. She still has feelings:
And she seems like one of the few people that might actually be able to save everyone in the end.
However, it seems like her main flaw is that she sucks at getting others to understand what she needs them to:
So, we'll just have to wait and see if she's able to find a way, then things might become clearer.