My parents were (and still are) very protective of my brother and me. They've often told me the story of them coming home from the hospital with newborn me. They put me in my baby seat in the back and were driving home. They looked back and my head had drooped down over my chest. Absolutely terrified that I couldn't breathe, they stopped dead in the street, Mom got out and ran over to the back. I perked my head up and looked around (according to my parents) like I was saying "what?" My mom rode with me in the backseat for the rest of the ride home.
Now, my parents are trying to give me some space, but I feel so unprepared for the world. I've been sheltered from it for so long, that I worry that I don't know what I'm doing.
Tiggs and sc are right, you need to give your daughter room to make her own mistakes and above all, trust your instinct. If it says something's wrong, it probably is.