The advent of the Internet of Things (IoT) has notably enhanced the quality of life, with significant advancements being made in the e-health domain through the Internet of Medical Things (IoMT). The IoMT, a network comprising medical devices, sensors, and applications, generates voluminous data that frequently necessitate real-time transmission to healthcare providers for effective emergency responses. Presented herein is a framework designed to prioritize this emergent data in IoMT applications. This framework employs a Quality of Service (QoS) gateway for data processing, aiming to ensure high throughput and minimal packet loss. Simulations were conducted, the results of which demonstrate a superior performance of the proposed framework, inclusive of the high-priority gateway, when compared to traditional networks.