You have changed your domain to a new one, but the old domain is still appearing as the first result when performing a search using a search engine like Google or Bing. You are wondering how long it will take for the new site to be the first option, and whether School Loop can do anything to fix this.
Results provided by search engines like Google and Bing are dynamic, and cannot be controlled by School Loop. These search results evolve over time based on new content being crawled (discovered) by the search engine robots, which are in charge of creating the list of possible pages that can result from a search. Therefore, it will take some time after a change for search engines to start showing your new site as the first option, recognizing that the new site is getting more traffic.