My Penny has a nub of a tail... she was from my first litter of pups 3 years ago... I was in Florida when the pups were born ... so they were born at the vets office... I got back the evening of the third day... and I had the vet remove the dew claws and I told him to "dock their tails" before I got back.... YUP... he docked them alright...!! Now I stand there and point to where I want the pups tailed docked.
I don't think the other yorkies talk about my Penny's nub all that much!!! I do see them snicker every once in awhile....
Your baby will just wag her butt.... I am sure she is precious... best of luck with her.