Unasked is a word that can either describe something that you didn't ask for (and possibly didn't want), or a question that is not spoken out loud.
When you haven't requested something but get it anyway, it's unasked for, like the unasked for cold you woke up with on your birthday, or the unasked for advice your sister is always giving you. An unasked question is usually one that is implied: "I answered her unasked question by sadly shaking my head." In the 13th century, this adjective instead meant "uninvited."