How do I get my wedding website searchable on Google?

No matter what you put into Google, our website does not come up. I have the settings set "website searchable" and do not have a private profile. This is EXTREMELY frustrating as my Knot website that I started but then did not complete because I did not like the format is showing up in a Google search for guests but not our actual website. Therefore they are not getting necessary details. We obviously shared our website with guests but unfortunately, a lot just go straight to searching for it on the internet instead of typing in the URL. Is there any way to fix this? Didn't think this would be an issue and would be so difficult. Apparently I should have just stayed with The Knot.... Any help would be greatly appreciated!