Best of luck with your poetry site man. You need to invest your time into SEO (Search Engine Optimization) this is what will best allow your poetry to get picked up. Think of keywords for your site, make sure there's content on the home page, headers, images with alt text, etc.
Small stuff like social media having links to your website helps marginally as well. There's 2 types of SEO on-page and off-page. I would start by Googling those terms and see if that helps.
Good luck!