Check the name and the service separately
Search your exact business name and city, then your service. A site missing from a generic search is a different issue from a business profile that cannot be found by name.
Review your Business Profile
Use the owner account to review verification, category, opening hours, contact details and real service area. Avoid making a duplicate listing to repair an existing one.
Check website indexing
In Search Console, inspect priority URLs, indexing restrictions and the sitemap. Correct technical errors before adding more pages. Local ranking also depends on relevance, distance and prominence.
Choose the next useful page
Create a useful service page with genuine evidence and a clear contact step. Review actual queries and enquiries over time; no first position is guaranteed.