Something with primacy has first importance. If you are deciding who to take on an all-expenses-paid trip up the Amazon, the quality of being chill and fun might take primacy over the number of years you've been friends.
Primacy comes from primary, meaning first, and it is like a condition of always having first place. If you are the teacher’s pet, you might have primacy over your classmates. You can also talk about primacy within a field. Madonna, Beyonce, and Shakira have all at one time or another achieved primacy in the field of pop music. Keep practicing, maybe you'll be next.