The statement that best describes the major conflict in Amy Tan's "Two kinds" is D. It is a character vs. character conflict, as the mother wishes for an obedient daughter, while the daughter desires independence.
The narrator refuses to learn to play the piano, not because she doesn't' like it but because she is determined to show her mother she is no prodigy nor could become one, because she wants to be who she is and not what her mother tell her to be.
