With the rapid emergence of the Internet of Things (IoT) paradigm, the evolution of wireless senor networks (WSNs) is expected to witness a major blow. However, the accelerated upsurge of sensors in the future IoT networks will face significant challenges due to their limited battery life capacity. Thus, it is essential to devise efficient schemes to prolong the battery life of the connected sensors in order to derive their full potential in the future interconnected IoT networks. Towards this end, different energy harvesting (EH) techniques relying on wide array of sources namely solar, wind, thermal, coupled magnetic resonances and radio frequency have been proposed in the literature. Working in the similar direction, in this work, an EH system based on time-switching has been proposed for half-duplex bidirectional WSN with intermediate relay over a Hoyt fading channel. For its extensive performance analysis, exact closed-form expressions have been derived with respect to outage probability (OP) and achievable throughput of the system under the hardware impairment condition. Additionally, asymptotic analysis of high signal-to-noise-ratio (SNR) regime for these performance measures has also been provided. Further, an approach for the symbol-error-rate (SER) analysis is also presented in context of the observed system. In a nutshell, the work provides a detailed analysis of the effects of various parameters on the performances of energy harvesting applied in wireless sensor networks over a Hoyt fading channel.