Anna suffers from agoraphobia so crippling that when a trio of criminals break into her house, she cannot bring herself to flee. But what the intruders don't realize is that agoraphobia is not her only problem.

Delivery tells the story of Kyle and Rachel Massy, a young couple who agree to document their first pregnancy for a family-oriented reality show. The production spirals out-of-control after the cameras capture a series of unexplained events, leading Rachel to believe that a malevolent spirit has possessed their unborn child.