I think you should name her Bijoux or Bijou (bees-shew) But more french sounding... you get the idea... lol
Its French and means Jewel or Tiny Trinket
You could call her:
Bijou Bee
Bijou Buns
Bijou Berry
Bijou Baby
Bijou Bunny
I could go on and on and on..... lol
Or you could just go nuts and say... Bijou Bijou Bijou!! It sounds great said in threes!! In a kind of whishey voice...

I had a Tiny little Poodle I loved to death nammed Bijou!!! I almost nammed Paris Bijou.