WordPress can prevent Google from accessing/reading/indexing your website. Ensure that Discourage search engines from indexing this site option in the WordPress Dashboard → Settings → Reading is not enabled.

For a more granular control over what Google will be indexed and shown on its Search Results Page, check this complete guide on How to get my site onto Google.

Google's access can be blocked through the robotos.txt file. This is a file that contains special instructions for Google's crawlers, and it can be found at the Root of your server.

Using a Hosting File manager app or a WordPress file manager plugin such as the Advanced File Manager plugin, check if, on the root folder, there is a file called robots.txt.

If there is one, check its content and make sure that Google's crawlers are not being blocked. The file (for Google access) should contain the following code:

Using the above code in the robots.txt file, your website tells web crawlers to crawl all pages, including the homepage.

Search engines have two main jobs:

To crawl sites, search engines follow links to get from one site to another — ultimately crawling across many billions of links and websites. This crawling behavior is sometimes known as “spidering.”

After arriving at a website but before crawling it, the search crawler will look for a robots.txt file.

If it finds one, the crawler will read that file before continuing through the page. Because the robots.txt file contains information about how the search engine should crawl, the information found there will instruct further crawler action on this particular site.

If the robots.txt file does not contain any directives that disallow a user-agent’s activity (or if the site doesn’t have a robots.txt file), it will proceed to crawl other information on the site.