In this article, we conduct a study on terahertz (THz) transmission through a periodic array of asymmetric apertures to demonstrate polarization controlled dual transmission windows. Specifically, we show that resonance peaks and Q-factors of these two transmitted bands are controllable via switching the incoming THz light from one polarization state to the orthogonal state. We investigate the origin and dispersion of two transmission peaks using a thorough study of numerical simulation. In our study, we show that depending on the polarization state, Q-factor can be changed from 3 to 100. Such a large variation of resonance quality can be utilized for a variety of applications like high resolution sensing and data communication.