I have had people, when we are talking about poetry, present a choice between rhyming verse and free verse, as if there are only the two choices. Really, the choices are many, and fall between those with an underlying meter or meters, and those without.
The reality is always more complicated than most assume. Take the following piece, written this morning:
"Lines for my Children's Education"
With winter a dream, and the summer dream,
the world a reality, dream as well,
we dreamers aren't culpable, nor is God:
the world is the world that we make within.
Some fashion a sonnet, some fashion swords,
some fashion a sport, as the others make
their multiples; pause here, for people make
and shape most the objects within the world.
Do animals live or they die? We claim
the power of life or of death. We seem
the power, yet powerless, scythe and saint,
the maker yet made, and as mortal, made.
We fashion our misery, fashion joys,
we fashion our beauty, and fashion days
of terror or peacefulness, making us
the students of fate and the toys of time.
With winter a dream, and the summer dream,
the world a reality, dream as well,
we dreamers aren't culpable, nor is God:
the world is the world that we make within.
You will notice that it has an underlying meter (U/UU/UU/U/) which is quite rigid, and that it does not rhyme. But it is a species of formal verse, not free verse, and since it is formal verse it demonstrates that there is room for a structured verse without the use of rhyme. We should remember that most of classical Greek verse did not rely on rhyme, even as it had a vast array of meters, for example, and that, while much of native Latin poetry relied on rhyme, its imitations of form from the Greek usually did not.
Really, it doesn't matter whether you write rhyming verse, unrhymed verse, formal verse, free verse, syllabic verse, syllabic-accentual verse, accentual verse, or verse of whatsoever leaning, as long as you learn the craft, write the best that you can, and revise until the work is as polished as it can be for the poem in question. As long as you choose standards that are professional, rather than amateur.