give someone the big e
give (one) the big e
To summarily spurn, dismiss, or reject one. This phrase is a shortening of "give (one) the big elbow," meaning the same. Jonathan has had a broken heart ever since David gave him the big e. Management promptly gave the new accountant the big e after his miscalculation cost the company hundreds of thousands of dollars. They'll give me the big e if they ever find out I came into work drunk yesterday.
give someone the big ereject someone, typically in an insensitive or dismissive way. British informal
The e in the phrase is from elbow : give someone the big elbow has the same meaning.