Publishing the website is a normal and recommended part of the design process in Webydo.
You can publish and continue editing and then publish again.
Sites that are not on a custom domain will not be indexed by Google.
If you would like to un-publish and take your site down, please go to the dashboard - and in the website's Settings Panel you can select the Not Active option and Save.
If the website does not go down immediately, you may need to publish the site again.