"Self-importance" refers to an inflated or exaggerated sense of one's own worth, importance, or value. It describes someone who considers themselves more significant or special than others usually without any valid reason. Full definition
Through these and other positive, affirming activities, your child is sure to develop a strong sense of self importance, value, and worth which will carry into their adult years. (childdevelopmentinfo.com)
Your mention of self importance as well is key. (redeeminggod.com)
The position of shadow secretary of state for self importance has been mentioned although there are many other candidates for this post. (channel4.com)