Are you attempting to attach photo etched trim or cast metal trim?
The ideas of cotton or qtips and fast acting superglue are very dangerous. That is likely to end up with a bunch of cotton fibers permanently adhered to the blob of superglue you just permanently adhered to your cherished model. Those methods have their place but not for a novice. If the loose piece is bent away from the body, that may be required. If youre trying to get a flat piece at stay flat on a surface, I recommend watered down white glue like kids eat in school. It is water soluble and allows you to clean any excess away as it dries with just water. Place a small amount where the piece needs to go, give it a couple of minutes to get tacky, and then press the loose piece into place. Hold it with a toothpick. Use another toothpick with a water moistened tip to clean any excess that becomes apparent. Sooooooo many models are ruined with superglue. And once that damage is done, it is irreversible.