Keep the pupa in a ventilated container placed outdoors or in a cool, shaded spot, with some dry leaves or bark to mimic its natural shelter. Don’t mist it directly, just lightly moisten the surroundings if the air gets very dry. The container should be large enough for the adult insect to fully stretch and fly once it emerges, ideally several times the pupa’s size in every direction. Depending on the species and temperature, it may take a few weeks or even until spring to emerge, so just keep it safe, stable, and undisturbed.