I would continue to read :)
I believe it mostly depends on the level of attention one can allow their comprehension of the subtleties within free verse poetry. Individuals who more readily accept patterns of habit usually gravitate toward a lyrical rhyming poem because they enjoy the familiarity of the structures. (After all, this is the form most readily available in musical form—music is ubiquitous in our cultures.) Most people associate the term “rhyme” with specific audible sounds (i.e. brain, drain; prone, drone, etc.) While this is a rudimentary function of human psyche—(recognizing aural similarities)—free verse poetry readers/writers gather such literary fondness by stepping past that limited opinion of rhyme by asking simple, internal, rhetorical questions like: why must only words rhyme? Why can’t concepts rhyme? The more abstract the interpretation of connections within the verse, the more valuable / desirable free verse poetry becomes to a reader.
Of course, to have a preference is absolutely natural, and there is nothing wrong with only being interested in rhyming poetry—it all comes down to “what” one considers “poetry—” and how much someone is willing to invest in enjoying the “chaotic element” of non-rhyming pieces. (It can be more dramatic—like your favorite actor in moments of climactic monologue…or less dramatic—like a leaf rolling slowly over the glassy swirls of a creek, etc.) It’s up to what you can make of it…great rhyming poets lend entertainment to anyone who will adopt to its systematic confines, while great non-rhyming poets depend on great non-rhyming poem readers.