This study examines the propagation of photons around slowly rotating wormholes supported by the fuzzy dark matter density profile within the framework of asymptotically safe gravity. The resulting wormhole geometry is characterized by a shape function that arises from the interplay between the specified energy density profile and the modified field equations within a Teo-type rotating wormhole metric. We examine the role of quantum-corrected redshift profiles and rotation in determining photon-sphere locations. To investigate the influence of varying redshift behaviors, we employ three smooth functions—Modified Bessel, Logarithmic nonlocal, and Error function nonlocal to analyze their impact on photon motion, null geodesics, effective potentials, photon-sphere radii, and the Lense–Thirring precession induced by wormhole rotation. This framework enables a detailed analysis of the wormhole geometry, including the throat configuration, the flaring-out condition necessary for traversability, and the violation of the null energy condition.
Maurya et al. (Mon,) studied this question.