While she can definitely be awkward and sometimes blurt things out without thinking, Indigo can spare a concern or two in how she's perceived socially. Probably because she cares about other people and what they think.

"Well, Earth was full o' humans, it's their homeworld.. So I'm used to havin' lots of humans around, I don't mind it anymore than I did on Earth."

Which isn't to say she's completely comfortable with it, just that she's used to it. Humans depend so much on facial expressions to communicate, and Indigo can't make those with her mask-like 'face', so on Earth she tended to be written off as 'creepy' before she could even say a word.