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Budgies actually ARE parrots, just tiny ones :3
Pets make bad gifts, especially ones that will most likely outlive their owners. I wouldn't recommend buying her any bird.
Maybe buy her a new cage for the budgies? Or take her out to a parrot store so she can pick out some new toys on your dollar.
If you really want to get her an animal, some humane societies and animal shelters have "gift certificates" you can buy that cover adoption fees for dogs and cats, so the owner can get the animal months, or even years after getting the gift, when they are ready.
You might be able to find a small animal or bird rescue that does this.
OR- Adopt a macaw or parrot from your local zoo in here name! You might even be able to get her name put on a little plaque by the animal's enclosure. Adoption money helps buy the animal new toys and enrichment.