Is she ok now? Or still sick?
A pup who throws up more than once or twice needs to go to the vet because there is the danger of dehydration. Puppies are more susceptible.
I would be inclined to take her to the vet anyway, because throwing up bile is not a sign that the puppy is hungry, it's a sign that something is amiss. It could be anything. An upset stomach, an infection, a foreign body...etc Did you, or the people you got your puppy from make sure she had her vaccinations?