This document analyzes the performance of a two-user non-orthogonal multiple access (NOMA) network where one user is served directly by the base station and the other is served via an unmanned aerial vehicle (UAV) relay operating in full-duplex mode. It derives the exact outage probabilities of the two users under Rician fading channels. The analysis provides guidelines for designing UAV-enabled wireless networks using NOMA techniques. Key results include the outage probabilities accounting for interference at both the UAV relay and users under different self-interference conditions at the relay.