Energy efficiency and privacy preserving have become essential for the wireless sensor networks. In the previous work, an optimal power allocation algorithm was investigated for a non-selfish symbiotic cognitive relaying scheme (NSCRS) in the sensor network with coexistence of a primary user (PU) and cognitive users (CUs). However, the optimal strategy of energy and time resource allocation as well as the privacy preserving was not considered. In this paper, we further consider the joint energy and time resource allocation problem for the cognitive users in NSCRS to maximize the overall capacity of the primary user and cognitive users with the consideration of information privacy under the energy constraints of cognitive users. With full channel state information (CSI), i.e., PU s -PU d , PU s -CUs and CUs-PU d , an optimal energy and time resource allocation algorithm is proposed based on the exhaustive searching. In order to reduce the overhead of CSI feedback, a suboptimal algorithm, in which only the instantaneous CSI of PU s -PU d , the instantaneous CSI of PU s -CUs and an averaged CSI of CUs-PU d by long term observation rather than an instantaneous value of CSI of CUs-PU d are required, is additionally proposed. Simulation results demonstrate the energy efficiency of primary and cognitive users in the NSCRS with consideration of information privacy can be greatly improved by the proposed algorithms.