How to read the result
Google only shows pages it has indexed: found, read and stored. A page that comes up when you search its own address is in the index. A page that does not is either new, or something on it tells Google to stay away.
The usual reasons are a noindex tag, a rule in robots.txt, a canonical tag that names another address, or a redirect. If none of them applies and the page is new, give it a week or two and ask Google to look in Search Console.
When Google changes your title
Google shows your title tag most of the time, but it rewrites titles that are too long, stuffed with keywords or the same on many pages. If the title it shows is not the one you wrote, shorten yours to about 60 characters and make it describe this page only.