Disgracefully tells you how something is done, or how bad a state is: in a way that brings shame. They treated her disgracefully means the way they acted was shameful. A room can be disgracefully dirty, meaning the dirt is so bad it feels like a shame. Same strong, judging feel as disgraceful; a little stiff, but still used when people are angry or shocked. It is a “how” word, so it usually goes with a doing-word or with another describing word. Though actually, same trap as disgraceful: it is not about clumsy movement, and it does not mean “not gracefully.”