Self importantly is a phrase that describes someone who behaves in an overly confident and self-satisfied manner, often to the annoyance of others. There are a number of synonyms that can be used to describe this type of behavior, including pompous, arrogant, conceited, haughty, presumptuous, and pretentious. Each of these words suggests a sense of superiority or self-importance, and can be used to convey the idea of someone who thinks very highly of themselves and expects others to defer to their opinions and decisions. While some people may find this kind of behavior amusing or endearing in small doses, it can quickly become tiresome or even offensive if carried too far.