Perhaps there are even shades of Asperger's? You could certainly armchair diagnose several folks on either side of our family with both giftedness (at least 3 of 4 grandparents) and suspicion of Aspergers, most notably my father and her cousin on my husband's side.
Well, it's certain a spectrum and if she were to be on it, it sounds like she'd be at the very high-functioning end. Although nothing you said (except the lack of empathy) could truly be explained by Aspergers and not giftedness. I'm certainly no expert and would never dream to Dx your DD over the internet but I figured it was worth mention in case an issue showed up later on.
