I would like to suggest Lilla (lee-lla) because it's the name of that colour in many languages and, very strangely, not all related languages. For example it's used in Denmark, Norway, Germany and Estonia... But also by the Chamarro people (Malayo-Polynesian, i.e. Pacific Islands like Guam) or the Sranan-Tongo (South America).
Lilla also sounds like a little song, which is fitting for a bird She may also be able to say it!
Beautiful hen for sure! Well, you know, I actually made a thread specifically for people like you https://talkbudgies.com/new-budgie-ar...s.html#2807010
Here you'll find names sorted by gender and color that are very unique for budgies!
I would suggest Lilia (similar to Dee's suggestion, but pronounced LI-lee-ah), Fiala (Fee-AH-la) or Saffron (the flower is actually purple!).
There are a few others on the list too! Hope this gives you some ideas!
and Princess Mallorn!
Thank you to Deb for her wonderful Faery magic