Several reasons might cause a homepage not to appear in search results:

• Indexing Issues: Check for crawl errors or directives in robots.txt that might hinder homepage indexing. Ensure the sitemap is correctly set up for search engine crawlers to discover the homepage.

• Content Quality: Enhance the homepage content by focusing on originality, value, and relevance to improve its appeal to search engines. Avoid thin or duplicated content that can lower its ranking potential.

• Crawlability: Rectify technical glitches such as broken links or improper redirects that prevent search engine crawlers from accessing and indexing the homepage. Ensure smooth navigation for better crawlability.

• Manual Actions: Look out for potential penalties by search engines and address any policy violations that might impact the homepage's visibility in search results. Review and rectify any guideline breaches.

• Competition and Ranking Factors: Consider the impact of high competition or superior-ranking pages within the same niche, which might lower the homepage's visibility. Analyze strategies to enhance its competitiveness.

Additionally, obtaining quality backlinks and promoting the homepage through various channels can help improve its visibility in search results.

Also, you can check DigitalShivanshi, they are providing free SEO audit for the users. Hope it helps!

@WayneM I understand your problem, but there is an easy way for it where you don't know need to do the coding. You can try HFCM plugin, it is in wordpress. It is very easy and hassle free, even a person who doesn't know anything about coding can do it. It is that easy.
Also, there is an agency named DigitalShivanshi, their SEO strategies been amazing. Hope that helps!