An entree was originally a smaller main course. In the "olden days" meals would have several main courses, or entrees. Originating in France, the term entree referred to the "entry" of the main course from the kitchens into the dining hall. As meals came to have fewer courses in modern times, Americans (and others) adopted the term for the main course.

In modern French usage, an entee is now the first course--the starter in Britain or the appetizer in the USA--in a meal. The current French usage is no more correct or incorrect than the current American usage of the term.

I like this game.
May we now discuss the misuse of the word "dessert" ;-)

Umm...duck is hardly meat: it's poultry.