After entering any URL in Site Explorer, you can see a Settings option next to the search bar:
This allows you to configure what defaults you see whenever you click on different reports.
Change the default country in Organic Keywords report
This setting will affect which country loads by default in the Site Explorer > Organic Keywords report.
By default, this is the country with the most number of keywords that the target URL ranks for. But you can set this to always load a specific country first.
Change the default view in Overview 2.0
This is a feature released in the Feb 2023 features update.
This setting will affect which of these views in Overview 2.0 will load by default: