Hannah Your furbaby is adorable! As are all the other furkids
And I myself  prefere the " babydoll" face.And have seen many of this "type" of face in the showring.
I agree with Irene, It's used as a descriptive term.Oh and Irene... Sultan is awesome as are his little pups in the photo's. 
My advice is always this ......When searching for your new Yorkie pup. make sure you see the Sire and Dam.If you prefere a certain look "type" be sure to research many breeders and see what kind of pups they are producing. Never let looks get in the way of Health and Temperment. Do your research and never impulse purchase your new furry friend. Congrats on your new furbaby, wishing you many years of happiness together.