If I may offer a suggestion...
Rit has two "pinkish" colors: Petal Pink and Fuschia. Depending upon your mix, application, substrate, and the way you hold your tongue, either one of these could give you the perfect pink you want on the bow. I suggest getting both and then doing plenty of testing to be sure you get the color you want before applying any dye to the bow.
Have fun and be sure to post pictures when you get the princess and her bow together.
Guy