D.J.
My two-year-old has put corn and vitamins in his nose. Luckily I had already heard what the doctor does with chilren who have things stuck in their noses. I blew air pretty hard into one nostril, and the corn came flying out the other nostril. The vitamin was a little more difficult, but I was able to blow it out enough to be able to work the rest out with my fingers.
Hopefully your daughter will lose interest in this activity soon. Toddlers just seem to enjoy exploring everything. :)