We present an approach to generate vortex light bullets (LBs) in a twisted cold atomic system with parity-time ( \(\mathcal{P}\mathcal{T}\) ) symmetric anharmonic potential. The nonlocal nonlinearity is introduced by the long-range Rydberg-Rydberg interaction. We find that such system can stabilize vortex LBs with topological charge \(m=\pm 1, \pm 2\) , corresponding to ring-shaped and quadrupole pattern, respectively. The imaginary part of the lattice potential, nonlocal nonlinearities, and rotational angular frequency strongly affect the stability domains of vortex LBs, whereas vortex LBs with higher topological charges have much smaller stable domains. The degeneracy breaking of vortex LBs is caused by the longitudinal twist, and it can be effectively controlled by the propagation constant and nonlocal nonlinearity. The imaginary part of the lattice potential induces redistribution of light field and energy flow among the neighboring poles.