A composite component system includes a base component with a first component fiber ply and a second component fiber ply and a repair insert with a first repair fiber ply and a second repair fiber ply. The base component is connected to the repair insert by an adhesive joint. The first component fiber ply has an interface surface connected to the interface surface of the first repair fiber ply by the adhesive joint. The second component fiber ply has an interface surface connected to the interface surface of the second repair fiber ply by the adhesive joint. The first component fiber ply has a fiber orientation corresponding substantially to a fiber orientation of the first repair fiber ply. The interface surface of the first repair fiber ply completely overlaps the interface surface of the first component fiber ply.