Very small dogs are conscious of their size and often afraid of « the big world ». It is your responsibility to expose your dog to as many different situations, smells, surroundings etc. as possible while she is still young. And don’t baby her, she needs to be treated like a « real » dog.
I encourage you to avoid using the terms « tiny poodle », « teacup poodle » or other marketing terms invented and used by unscrupulous breeders (greeders) to create demand and make more money. Poodle sizes are toy, miniature and standard poodles in North America. Within those sizes, dogs will have different weights but they are one, single breed, the poodle.
Ethical breeders do not breed for very small dogs, are there are many health problems associated with being so small. They will sometimes (thankfully rarely) have one come up in a litter and they will sell them for the same price as their sibling, and under the same size « toy poodle ».
Enjoy your baby !