@verkraftet

To allow access to profile pages, you can change the following:

if (!in_array(strtolower(trim($current_url)), array_map('strtolower', $allow)))

  gatekeeper();

to 

if (!in_array(strtolower(trim($current_url)), array_map('strtolower', $allow)) && get_context() !== 'profile' && get_context() !== 'widget')

  gatekeeper();

Note: If you do not want the widgets to show any content, you can remove the 

&& get_context() !== 'widget'

from the end of this statement. It will allow access to the profile page showing the profile information only.