Did I accidently pull my kittens claw out?

My kitten was on my computer chair, and i pulled her off. I hear her mew a little bit, and I saw something that looked like a claw on my chair. I picked it up and it was really thin. She didn't mew anymore after that, and seems fine, but im still worried. Did I accidently pull her claw out? I'm really scared.

If you had actually pulled a claw out there would be a wound and your cat would be in pain.
   
Since you do not mention either of these circumstances then I would say it's fine.