  This position paper introduces Urgent Edge Computing (UEC) as a paradigm
shift addressing the evolving demands of time-sensitive applications in
distributed edge environments, in time-critical scenarios. With a focus on
ultra-low latency, availability, resource management, decentralization,
self-organization, and robust security, UEC aims to facilitate operations in
critical scenarios such as disaster response, environmental monitoring, and
smart city management. This paper outlines and discusses the key requirements,
challenges, and enablers along with a conceptual architecture. The paper also
outlines the potential applications of Urgent Edge Computing
