Did they send you a confirmation email after you ordered the Anna doll? If they did, then they are about to ship it.
This is from what I saw when I looked at the doll you purchased.
Under delivery it says: Delivery
Most items ordered via Standard Delivery will arrive within 7-9 business days, personalized items will arrive within 10-12 business days. Exceptions include customized items and items shipped from locations other than our main warehouse. 2-Day Express and 3-Day Express Delivery are also available for an extra charge. Please allow an additional 1-2 business days for personalized express orders to ship.
But I heard some people had some bad experiences when it came to shipping from Disney Store online. I never tried it yet but My Mom used to go to the Disney Store like all the time to get Disney stuff. So it's been a while since we been to a Disney Store and also purchasing not just in stores but also online. Wish I could help but I just hope that you'll get your Anna doll in like a week or so. So be patient.