Making small talk is not much fun for a shy person. Shy means being nervous or reserved around other people, especially in a social situation.
Someone who's extremely shy might blush or stammer when talking to a group of people. Shy can also mean "tending to avoid," like when someone is "camera shy," or if they "shy away" from being straightforward. The Old English root scēoh, "easily frightened," originally only referred to a horse, and came from a Germanic root meaning "scare."