hearing: the capacity to take in sound, the ears that receive it, or the act of listening
This is the receiving side of the word. It covers the whole business of taking in sound: the faculty of hearing that a body has, the ears through which sound enters, and the act of listening itself. Which shade is in view depends on the sentence, and English usually needs a different word for each (the sense of hearing, the ears, or hearing as an action), but they are one idea seen from different angles.
Because the word points to reception rather than to any particular content, it is naturally paired with sight. When Paul asks where the sense of hearing would be if the whole body were an eye, and when Peter speaks of Lot tormented by what he saw and heard, the word simply names one of the channels by which a person perceives the world.
From the faculty it slides easily to the organ. To have something reach your ears, to have itching ears, or to turn your ears away from the truth all use this same word for the physical ear standing in for the person who does or does not want to listen.