My name is Elise and when I introduce myself, I get asked if I said Emmelise more often than I get asked if I said Annelise or any other more traditional version of the name. I think it's the "I'm Elise" thing- anyway...no one seems perturbed by it even though it's not my name!
It's fine. I think it's unremarkable and will likely get shortened to Em or Emmy like many other names that are currently popular.