Were using Google Apps and want to remove one of the email addresses from the everyone list. Imagine a helpdesk ticket being created every time someone sends an email to everyone.What options do I have in accomplishing this? 
Remove single user from everyone list
gmail;google apps;google apps email
It's not possible to exclude accounts of the domain of the everyone list. From Add all users to a group - Google Apps Administrator HelpYou can't edit the members within the All users within your-domain  member. But just like any other group, you can edit the groups access  settings or delete it.Instead, create a group to which you add the desired members by other means. There are several options for that.