Especially among professional theater people, "actor" is often used in place of "actress" nowadays. A lot of feminine endings for occupations have gone out of favor in English, at least in America. You would never call a female poet a "poetess," for example, and airline stewards and stewardesses are generally called "flight attendants."
It's clear about gender - dansöz, aktris are not popular words. But what about the word aktör (also an obviously French borrowing, judging bu the phonetics of these three words, though their origins are deeper) versus oyuncu? Shakespeare used players for actors in his famous As You Like It quotation about the world being a stage and men and women "merely players".