Set up *only* module configuration page
If you want to remove the link from the admin menu altogether, you just need to change the type to something other than MENU_NORMAL_ITEM. MENU_CALLBACK is the standard for this type of thing:

$items['admin/configuration/content/brd_contact'] = array (  
  'title' =&gt; t('BRD Contact Form'),
  'description' =&gt; t('Configuration options for the BRD Contact Form module.'),
  'page callback' =&gt; 'drupal_get_form',
  'page arguments' =&gt; array ('brd_contact_admin'),
  'access arguments' =&gt; array('administer brd_contact'),
  'type' =&gt; MENU_CALLBACK
);


After you clear Drupal's caches the link should be gone from the admin menu.

If instead you want to move the link from the top level of the menu into the sub-menu under 'Configuration', then you just need to change the string 'configuration' to 'config' in your path, to match the other system menu paths:

$items['admin/config/content/brd_contact'] = array (...


You'll need to clear the caches before that'll take effect too.