Esmé is a sophisticated, distinctive, and charming J. D. Salinger name, from his classic 1950 story For Esmé, With Love and Squalor. Related to the French Aimee, which means beloved, and to the concept of esteem, it was originally a male name exported from France to Scotland via a member of the royal family.
A current favorite among celebs, including Samantha Morton, Michael J. Fox and Katey Sagal, Esme got a lot of publicity via the character Esme Cullen, the vampire matriarch of the Olympic Coven in the Twilight Saga.
The final accent indicates the pronunciation of ez-may, though in English you can just spell it Esme.