The GitHub repository "docker-phobia" by the user "remorses" provides a solution for those who are hesitant to use Docker directly. It simplifies the process of using Docker with a more approachable interface, making it easier for users to manage their Docker containers and images without needing deep familiarity with Docker commands. The repository includes scripts and tools that abstract common Docker tasks, aiming to help users overcome their apprehension about diving into Docker's complexities.