President is a synonym of rector.
As nouns the difference between rector and president
is that
rector is in the Anglican Church, a cleric in charge of a parish and who owns the tithes of it while
president is the head of state of a republic, a representative democracy and sometimes a dictatorship.
As a proper noun Rector
is an English surname; derived from the German surname
Richter.
As an adjective president is
occupying the first rank or chief place; having the highest authority; presiding.