The application of hybrid scheduling for both conventional data transmission and quantum key distribution (QKD) in next-generation hybrid 6G networks is examined in this research. The study simulates transmission over Multimode Fiber (MMF), where QKD keys and classical packets are sent in parallel without a scheduler, and over Single-Mode Fiber (SMF) utilizing time-based and event-based scheduling protocols. Bit Error Rate (BER) and Packet Error Rate (PER) comparisons between the two protocols show improvements in latency and resource allocation efficiency achieved by the SMF scheduler. Concurrent transmission of classical and quantum offers the possibility of boosting data throughput. The effect of cross-talk coefficient on the accuracy of transmitted data is also elaborated. These findings highlight the necessity for customized methods in hybrid quantum-classical networks by shedding light on the performance and adaptability of scheduling techniques on SMF and the advantages of space division multiplexing on MMF. For MMF specifically it showcases noise resistance quantum data transmission.