How to order a view by access control on files?
In views under the Advanced section when you select the Theme: Information link, you can select to override a specific field.

Choose the most appropriate naming convention as this will dictate the scope of your override. Copy the text given by views and copy this into a new file in your theme called the .tpl.php file name you chose.

Once there you can add a conditional statement before outputting your field with user_access to check if your user has the right permissions to view the downloads.

You might have to specify the permission in your own module with hook_permission.