In dynamic light scattering in nematic liquid crystal in silica aerogel matrix, the light intensity correlation function in the single scattering regime is an average over the orientations of the nematic director n with respect to the laboratory frame. We have calculated the expected correlation function and its dependence on the scattering angle and incident and scattered polarizations. Due to the substantial dependence of the orientational diffusivities on the relative orientation of n and the scattering vector, the correlation function is nonexponential. In the calculation, the effect of the refractive index anisotropy on the scattering vector is also taken into account.