As nouns the difference between hector and rector
is that
hector is a bully; a blustering, turbulent, noisy fellow while
rector is in the Anglican Church, a cleric in charge of a parish and who owns the tithes of it.
As proper nouns the difference between hector and rector
is that
hector is a Trojan hero in
Iliad while
Rector is an English surname; derived from the German surname
Richter.
As a verb hector
is to intimidate or dominate in a blustering way.