Hola Andres,
Unfortunately, the top-level menu and icon for Quick Links is protected in the base Dominion theme. Though it does not display that way, if you look in Admin > Menus, you can see that the login, profile, and logout options are technically part of this menu tree.
You could use custom CSS and/or a custom theme to hide the Quick Links menu. Keep in mind that this may impact the visibility of the other elements such as the login button, so you will need to inspect it closely and target only the right elements to hide.
Note that some users do choose to hide the login and logout options intentionally for public-facing sites - in fact there is a way to hide the login button in the Visible elements module:
As noted there, you can manually navigate to /user/login to access the login page if the button is hidden.
Otherwise, you can edit or delete most of the static pages and links included in the Quick Links menu drop down, via Admin > Menus (to delete the links) and Admin > Static pages (to delete pages like the "About" page, etc).
Cheers,