I wouldn't automatically think of Twilight because I had a student whose name is Esmeralda, and Esme is her NN.
My cousin's name is Esmeralda, and nobody ever calls her anything other than Esmée. She goes by that NN in school, work, with friends, online, etc.
The only thing that pissed her off was Twilight at its highest peak. She's okay with it now, so unless Twilight somehow because a litterature classic in the next dozen years, your daughter shall be fine :) It's a beautiful name and nickname.