This paper proposes a new scheduling scheme which based on the extended E-model, Channel- and QoS-Aware (known as E-MQS scheduler) for real-time traffics in LTE downlink direction. The real-time services (VoIP, Video, etc.) are very sensitive to network impairments such as delay, packet loss, jitter, etc. The proposed scheduling scheme is based on the extension of the E-model and the consideration of Maximum Queue Size (MQS) as a factor for the metric. Since this scheduling scheme considers Mean Opinion Score (MOS) values, thus, it gets higher user perception. The simulation results show that the proposed scheme has the performance which not only satisfies QoS requirements of real-time services but also outperforms the Frame Level Scheduler (FLS), Modified Largest Weighted Delay First (M-LWDF) and Exponential/Proportional Fair (EXP/PF) schedulers in terms of delay, cell throughput, Fairness Index (FI) and Spectral Efficiency (SE), especially for Video flow. Our proposed scheduler also significantly improves the Packet Loss Rate (PLR) in comparison with the M-LWDF and EXP/PF schedulers for both VoIP and Video flows. The performance evaluation is compared in terms of Delay, PLR, Throughput, FI and SE for FLS, M-LWDF, EXP/PF schedulers and our proposed one