I'm like this, too. I think it's important to see your introverted nature as strength and learn to hone on the positive aspects of it because frankly, being seen as mean and asocial can easily make one alienated. Focus on being a good listener, anticipating the needs of others, and having a calm demeanor and presence. Instead of initiating awkward small talk, I show interest by asking questions about the person because everyone LOVES to talk about themselves. Through this, It's been easier for people to see me as friendly while quiet and tends to prefer time alone instead of completely standoffish.