Final answer:
The term for a female entertainer trained in various Japanese cultural arts and social etiquette is a Geisha. Geishas hold a distinct place in traditional Japanese culture, separate from the theatrical performances of kabuki actors. They were part of the cultural life of a burgeoning merchant class in Tokugawa society.
Step-by-step explanation:
The term for a female entertainer who is trained in traditional Japanese arts, etiquette, and social graces is (A) Geisha. Geishas were highly skilled professionals adept in various arts like dance, singing, playing the shamisen, tea ceremony, ikebana (flower arranging), poetry, calligraphy, as well as in the art of kimono wearing.
Kabuki is a different form of Japanese theatrical performance characterized by stylized drama and dance, initially performed by women but later only by men, with elaborate costumes and distinctive makeup. It also played a role in Japan's entertainment culture but unlike geisha, kabuki actors are primarily theatrical performers and not trained across the wide array of social and artistic skills that geishas are known for.