precedence over (someone or something)
An existing priority over someone or something else. I'm afraid their project has precedence over yours because they are so much nearer to completion. Applicants with spouses or civil partners serving in the military will take precedence over all others.
*precedence over someone or something
the right to come before someone or something else; greater importance than someone or something else. (*Typically: take ~; have ~; be given ~.) Ambulances have precedence over regular cars at intersections. My manager's concerns take precedence over mine.