late 15c., "a guide," from Anglo-French directour, French directeur, agent noun from Latin dirigere "set straight, arrange; give a particular direction to," from dis- "apart" (see dis-) + regere "to direct, to guide, keep straight" (from PIE root *reg- "move in a straight line").
Corporate sense of "one of a number of persons having authority to manage the affairs of a company" is from 1630s; theatrical sense of "the leader of a company of performers" is from 1911.
Old English filmen "membrane, thin skin, foreskin," from West Germanic *filminjan (source also of Old Frisian filmene "skin," Old English fell "hide"), extended from Proto-Germanic *fello(m) "animal hide," from PIE root *pel- (3) "skin, hide."
Sense of "a thin coat of something" is 1570s, extended by 1845 to the coating of chemical gel on photographic plates. By 1895 this also meant the coating plus the paper or celluloid. Hence "a motion picture" (1905); sense of "film-making as a craft or art" is from 1920.