What does everyone think of the name 'Remi' for a girl?

I really like the name but I have 2 problems with it. The first is I wonder if it's a little too out there or unusual, I normally like more common names and so does all my family so I think they'll dislike it and their opinions are important to me. The second is I like to have a long version of a name (eg Alexandra for Alex) but I hate 'Remington' the long version of Remi. Do you think I'll still care about these things if I give her that name?