I think as mothers we worry too much about food. We feel like kids should always be ready to eat at set times, or naturally be adventurous with food.
This not wanting to eat is very common. I do not think your child is trying to be manipulative, I just thinks some kids are sometimes, not that hungry. Children will not starve. Just serve her healthy foods. Give her smaller portions and if she wants more, give a little bit more.
Watch her to make sure she is not coming down with something and do not make a big deal out of. Just offer her what you normally would at the normal times. If she misses a few meals or snacks that is fine, just do not give her anything in between as a bribe food. That can start bad habits.
Check out the post on Mon. Mar. 02, 2009 by Sarah R, same exact thing was happening with her child.. Since I have been on mamasource, this comes up almost every other month.