To eliminate render-blocking resources on a WordPress site, you can try the following steps:

1. Minify CSS and JavaScript files: You can use a plugin like Autoptimize to minify your CSS and JavaScript files, which will reduce their size and make them load faster.
2. Defer loading of JavaScript: You can use a plugin like Async JavaScript to defer the loading of JavaScript files until after the page has finished rendering. This will prevent the JavaScript from blocking the rendering of the page.
3. Optimize images: Large images can slow down your website, so it’s important to optimize them by reducing their size and using appropriate image formats. You can use a plugin like Smush to optimize your images automatically.
4. Use a content delivery network (CDN): A CDN can help reduce the load time of your website by storing copies of your static assets (such as images and CSS files) on servers located around the world. This allows visitors to download the assets from a server that is closer to their location, which can improve the overall speed of your website.
5. Enable caching: Caching allows your website to store certain elements of your website in the visitor’s browser, so that they don’t have to be downloaded every time the visitor loads a page. This can significantly reduce the load time of your website. You can use a plugin like W3 Total Cache to enable caching on your WordPress site.

It’s worth noting that eliminating render-blocking resources is just one aspect of optimizing the performance of a WordPress site. There are many other factors that can impact the speed and performance of your website, such as the quality of your hosting provider, the complexity of your site’s design and code, and the number of plugins you are using. To get the best results, it’s a good idea to approach performance optimization from multiple angles and to regularly monitor the speed and performance of your site.