Power communication networks are generally used for monitoring, control, and data transmission in power systems, playing a crucial role in realizing smart power systems and communication. Digital twins are currently widely applied in various manufacturing and industrial fields, offering positive effects in decision optimization and risk reduction. Given the importance of power communication networks in smart grids, it is essential to promptly restore services when these networks experience faults to ensure the stability of power communication network operations. Existing recovery strategies face challenges related to load balancing on network links and service recovery time requirements. Few studies simultaneously consider load balancing on network links and service recovery time, and the application of digital twins in power communication networks is also limited. We propose a delay and load-aware digital twin-based power communication network rerouting method. The simulation results show that this method has good performance, while ensuring that the service recovery time and link load are close to the minimum.