Well, that's my bad then. I didn't think that was a genuine question. Maybe I've been too poisoned by irony and sarcasm online.
I would say no, then. She's clearly not a sociopath. She's in her own head a lot, but she also clearly cares about Sunao's feelings (even to the detriment of her own), which is not really a thing a sociopath does. Now, she definitely displays certain antisocial behaviors, but a lot of people who can still feel empathy for other people do.