The superior gluteal nerve is the correct answer because it innervates the tensor fascia lata muscle. The tensor fascia lata is a muscle located in the hip region and is responsible for flexing, abducting, and medially rotating the hip joint. The superior gluteal nerve originates from the sacral plexus and supplies motor innervation to the gluteus medius, gluteus minimus, and tensor fascia lata muscles. Therefore, it is responsible for the innervation of the tensor fascia lata muscle.