My kids haven't wanted to try spices, but another comment reminded me that my son, when he was 8-9 months old, got into our salsa jar and almost ate the whole thing! He cried when I took it away. I was afraid it would give him a tummy ache (it did, but not very bad) or that he'd cry when the burn sunk in. But he loved salsa on everything up until about a year ago (he's 4 now.) I remember one time we went to the inlaws' for dinner. Their cooking is rather bland compared to mine, and we were having what they called enchiladas. It was basically unseasoned ground beef overflowing from a tortilla, with a few drops of enchilada sauce. I wasn't looking forward to downing it, but was trying to be polite. My son tried one bite and asked, "Grandma, do you have any salsa?" He saved me!
My second son loves Hot Tamales. He feels the burn and acts like his mouth is on fire, but then begs for more.
I don't see that it could be a problem, but if you have expensive spices, you might want to buy some cheaper ones at WalMart (for the basic ones) or Big Lots (they have harder to find ones, but are more expensive) for your daughter to dip into. They're 2 for a dollar at WalMart.