In literature, it's the reader. In music, it's the listener. In performing arts it's the audience, and in visual arts it's the viewer. What word combines these terms?
To say audience would be close, except it has a connotation of being very public, and thus it's not singular.
Very broadly, I would call the person an artist, but artist implies one who creates art.
I might call the person the consumer, as in "the consumer of media." This connotes art as an industry, and implies passivity.
For example, how do I complete the sentence:
Kitsch is created by the insincere artist, but the [word] is responsible for finding value in it.
I'm looking for 1) the analogous receiver, where "If sender is to receiver, artist is to ___" and 2) a word that references the active skill of consuming art (reading, listening, etc), rather than the active skill of making art, or the passive activity of receiving without engaging and interpreting.