Here's a compelling article from the TCK Publishing. It's called How to Publish a Poem: 3 Ways to Become a Published Poet.
It shares some interesting ways you can publish your poems. Here’s one tip that's surprisingly simple yet effective:
Follow their submission guidelines. I can’t reiterate enough how important this step is. The vast majority of poetry submissions are rejected automatically simply because the writer did not follow the organization’s submission guidelines properly.
Have a look at the complete article for more of the author’s observations.