A Remote Health Monitoring System (RHMS) is known as one of the promising applications that has been successfully developed with the help of Wireless Body Area Network (WBAN) technology nowadays. This RHMS offers a continuous monitoring of health’s status by sensing and collecting the physiological signals (medical data) from bio-sensors that are attached or implanted in the body. Then, these medical data are furthered transmitted to the clinicians to diagnose the diseases. If any abnormalities are detected, a quick medical actions would be carried out. However, these collections of medical data could lead to heavy traffic which increase the risk of data congestion in the network. Congestion could severely impact the overall’s network performances in terms of longer delay and packet loss. Thus, a Priority Selective Packet Timeslot (PSPT-MAC) mechanism is proposed to avoid congestion during transmitting these bulk of medical data in the network. This mechanism is initiated by classifying and prioritizing the data according to their importance through ECG Packet Classification and Prioritization (ECG-PCP) mechanism. Later, corrupted packets are earlier discarded by Prioritized Selective Packet Discarding (P-SPD) mechanism to save the limited network’s resources. Finally, the remain packets (after discarding packets from P-SPD mechanism) undergo fragmentation according to slot time via Fragmentation based Slot Time MAC (FST-MAC) mechanism in the MAC IEEE 802.15.4 protocol. From the findings, this mechanism has outperformed the standard IEEE 802.15.4 protocol and FCA-MAC mechanism by yielding low delay and packet loss as well as high throughput and packet delivery ratio (PDR) under different number of nodes in the network.