I think Holly was really just more interested in her sushi. I also suffer from anxiety and I'm asocial but with no visible issues in interacting with people or striking up conversations and it reminds me of Holly ( though I don't think she's actually asocial or suffers from anxiety, I think she's just introverted) - seems like most people can accept you're asocial only if you display the symptoms of Asperger's, autism, etc. Otherwise, they think you're rude or selfish because you prefer to spend time by yourself.
Then again, if I arrange to meet someone, I will make sure that I interact with them.
Still, Holly is not well-read, she's not interested in politics, relationships, TV or music and she does not seem to be keen on spending time with people who do not share common interests / lifestyles, such as dancing, biology or veganism - I think it would be difficult for anyone in her position to keep conversations with most people going.