The integration of Urgent Computing is essential in order to adhere to stringent time and quality constraints of emerging distributed applications, hence facilitating efficient decision-making processes in numerous fields. Adaptation of such applications to produce outcomes within the desired confidence range and defined time interval can be of great benefit, especially in distributed and heterogeneous execution contexts. This study provides a justification for the necessity of dynamic adaptation in applications that are time-sensitive. Furthermore, we present our viewpoint on time-sensitive applications and undertake a thorough analysis of the underlying principles and challenges that need to be resolved in order to accomplish this goal. This research aims to provide a comparative analysis of our suggested vision for adaptation in contrast to the existing literature. We provide a comprehensive explanation of the architectural framework that we plan to construct, and conclude with discussing some ongoing challenges.