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Streaming real-time applications require the timely distribution of information in mobile ad-hoc and sensor networks. At the same time, such networks must operate energy-efficiently to maximize the lifetime of mobile devices and applications. In multi-hop networks, multiple communication paths between a single sender and receiver can be established, with varying real-time and energy characteristics of each path. This paper introduces the DETOUR (Delay- and Energy- aware mulTi- cOUrse Routing) protocol that applies feedback-driven path diversification, where traffic load is balanced across two or more paths to ensure both timeliness and energy-efficiency. We apply the (m,k) model for firm real-time communication to wireless networks, i.e., the protocol aims to meet at least m end-to- end deadlines out of k packet transmissions, thereby sacrificing additional improvement in latency in order to maximize the lifetime of the network by minimizing energy consumption. The experimental results of this paper show the protocols ability to reduce energy consumptions (up to 35%) while meeting the data streams firm real-time constraints.