Some people think Violet budgies look purple but they're more a very cool blue vs Cobalt which is less cool vs Sky Blue which is really an aqua blue. I've never seen a sky the color of a Sky Blue budgie- it's much closer to Cobalt or Violet! Online pictures of Violet budgies are often enhanced to make them look purple. It's actually pretty hard to tell some Violets from Cobalts, especially in the really pale mutations. And some budgies are both Violet and Cobalt (having one dark factor AND the violet factor) and some have TWO violet factors. It's easiest to tell Violet in an opaline budgie on the upper back between the wing- that area tends to look the most "violety" but it never looks purple. I have an opaline violet hen and she looks the most cool violet from above and perched next to her bestie, an opaline dominant pied Sky Blue male who is a light, bright clear aqua color.
Unless you're breeding her and are trying to predict the color of her offspring it really doesn't matter if your girl is a truly a Cobalt or a Violet or a Violet Cobalt. Or a Dilute or a Greywing. Just say she's whatever you want (within reason- she's not green!) but be prepared to explain to people unfamiliar with budgie mutations that No, Violet budgies are NOT purple!