Choice B is the best answer. In the last sentences of the fourth paragraph, the narrator describes Precious Auntie's artistic philosophy, or, more specifically, the questions that an artist is forced to ask when working with concerted effort: "You push and you ask yourself, What are my intentions? What is in my heart that matches my mind?" With the second question, Precious Auntie highlights how an artist must strive to create work that resembles, or corresponds with, what is in both the artist's heart and mind. Therefore, the word "matches," as used in this sentence, most nearly means corresponds with.
Choices A, C, and D are incorrect because in the context of the passage, "matches" means corresponds with, not competes against (choice A), runs counter to (choice C), or treats equally (choice D).