Some people have asked to be removed from our email list. How do I do that? I've tried just deleting the name but I can't make it permanent
Several interpretations here.
If 'remove from email list' is the equivalent to 'unsub from group x which is used for a Mailing List' then you should be able to 'remove' them directly from the group.
If it means 'stop sending me any bulk mailings' then you can set their email to "on hold"
if it means 'never ever email you' you can set their record to Do Not Email which should stop even one to one emails from the system