The role of a remote developer in Agile development is to work as part of a cross-functional team to deliver high-quality software in a timely and efficient manner. Here are a few key responsibilities of a remote developer in Agile development:

1. Collaboration: Remote developers in Agile development work closely with other team members such as project managers, product owners, and other developers to understand the requirements and deliverables of the project.
2. Development: Remote developers are responsible for writing code, testing and debugging, and troubleshooting any issues that may arise.
3. Communication: Remote developers in Agile development must be able to communicate effectively with team members, stakeholders, and clients. This includes regular participation in agile ceremonies such as stand-up meetings, sprint planning, and retrospectives.
4. Continual learning and improvement: Remote developers in Agile development must be willing to continuously learn and improve, in order to stay up-to-date with the latest technologies, development practices, and trends in their field.
5. Adaptability: Remote developers in Agile development must be able to adapt to changing requirements, timelines, and priorities, and be able to work in a fast-paced and dynamic environment.
6. Flexibility: Remote developers in Agile development must be flexible in their work schedule and be available to work during different time zones or work hours, depending on the team’s location.
7. Responsiveness: Remote developers in Agile development must be responsive and able to quickly respond to any issues or requests that may arise.
8. Self-motivated: Remote developers in Agile development must be self-motivated, as they will be working in a remote environment.

In summary, the role of a remote developer in Agile development is to work as part of a cross-functional team to deliver high-quality software in a timely and efficient manner, while communicating effectively, continuously learning, adapting, being flexible and responsive, and self-motivated.