Light is an electromagnetic wave which are transverse in nature. They do however propagate through fluids, why is that?
Light is an electromagnetic wave, and they are indeed transverse in nature as the oscillation of the electric and magnetic fields is perpendicular to the direction of propagation of the wave. However, light waves are non-mechanical. This means that they do not require a physical medium in order to propagate. However, other mechanical transverse waves are unable to propagate through fluids due to their low shear strength.