The Distributed Coordination Function (DCF) is the mandatory, and most widely used, access scheme in the IEEE 802.11 standard. Efficiency in utilizing wireless medium and fairness in respect to wireless stations and the traffic generated by them, have always been considered two of DCF's main features. In this paper, we examine the fairness of DCF in allocation of bandwidth to heterogeneous multimedia traffic, especially for overloaded systems. Results show that applications with certain traffic patterns, and queuing effects on heavily loaded stations, could disrupt fair allocation of bandwidth among different multimedia streams sharing the same station, as well as among stations. Among many others, one serious consequence of this can be significant asymmetry in quality of service between downlink and uplink directions in bidirectional multimedia sessions.