A new idea is delicate. It can be killed by a sneer or a yawn; it can be stabbed to death by a quip and worried to death by a frown on the right man's brow.
When you buy my books, you kind of know what you're in for. It's kind of self-selecting. If you have a delicate sensibility, and you're easily grossed out, you probably will never read one of my books.
Moscow and Washington have evolved a delicate process for 'de-confliction' in the tight Syrian airspace, where accidents or miscommunication could be disastrous.