Ultrarelativistic heavy-ion collisions provide a unique window into far-from-equilibrium states of QCD matter. The initial stages of these events are characterized by highly anisotropic, nonthermal dynamics that precede hydrodynamization, yet they remain largely inaccessible through conventional soft observables. In this work, we show that the substructure of mid-rapidity jets provides direct sensitivity to the spacetime structure of this early, anisotropic phase. Using classical Yang–Mills simulations and effective kinetic theory to model the early-time evolution of the jet quenching parameter, we compute the contribution of a single $g\to c\bar{c}$ splitting to the azimuthally differential energy–energy correlator within the BDMPS-Z framework, as a controlled proof of principle. By decomposing the result into celestial blocks, we isolate the coefficients that encode the anisotropic geometry and dynamics of the underlying medium. We identify an observable that couples directly to spatial anisotropies in the out-of-equilibrium QCD matter and also discuss the impact of medium response on its behavior. We further extend our study to mid-rapidity jets generated with the  Monte-Carlo, adjusted to incorporate an anisotropic medium background, and find that the observable remains sensitive to directional medium effects at the level of reconstructed jets, providing a complementary test of the effect identified analytically and motivating experimental searches for azimuthal jet substructure as a probe of the early-time anisotropic matter. Finally, we discuss how higher-point energy correlators and generalized energy-flow operators can enhance the sensitivity to the microscopic structure of far-from-equilibrium QCD matter.