Answer: D) Character vs. character.
Explanation: in literature, a conflict is a struggle between opposite forces, usually between a character (the main character or a very important one) and himself (internal conflict), society or another character (external conflict). In the given passage from "Two Kinds" we can see an example of an external conflict, specifically a character vs. character conflict, in this case between the speaker and her mother, about her not wanting to play the piano anymore.