OHH, totally not. I guess it depends on her personality... Odette seems like someone more shy and soft spoken. but then again, Teddy COULD be someone more outgoing.
And no, I don't think she would be made fun of. Odette is such a pretty name!
She may be made fun of a little, but then again, who isnt? I think its an ok name, but its not something i would pick. I dont really see how you get teddy out of that, but i like it