(slang, informal, vulgar)
A person with a long, angled face.
The term "carrot face" is used against someone when they have an overly pointed face or because they took mewing too seriously.
"Carrot face" compares an overly defined facial structure to the appearance of a carrot, because a carrot is long and pointy.
Derek mewed too much; he has a long ugly ass carrot face!