Its sounds little strange, please share store url to so i can check.
No one can enter your store admin without login credentials or until you allow them.
And by default no one can see this options.
To make more clear: Open your store url in other machine without login or browser.
Check my dev store https://dev-variant.myshopify.com/
It have same logo as you share but when you will open my dev store in your computer (machine) these options will not available for you.
Means no one instead of admin can see this