We report on the observation of a large anisotropy in the rethermalization dynamics of an ultracold dipolar Fermi gas driven out of equilibrium. Our system consists of an ultracold sample of strongly magnetic 167 Er fermions, spin-polarized in the lowest Zeeman sublevel. In this system, elastic collisions arise purely from universal dipolar scattering. Based on cross-dimensional rethermalization experiments, we observe a strong anisotropy of the scattering, which manifests itself in a large angular dependence of the thermal relaxation dynamics. Our result is in good agreement with recent theoretical predictions. Furthermore, we measure the rethermalization rate as a function of temperature for different angles and find that the suppression of collisions by Pauli blocking is not influenced by the dipole orientation.PACS numbers: 03.75. Ss, 37.10.De, 51.60.+a, 67.85.Lm The behavior of any many-body system follows from the interactions of its constituent particles. In some cases of physical interest, importantly at ultralow temperature, where the de Broglie wavelength is the dominant length scale, these interactions can be simplified by appealing to the Wigner threshold laws [1,2]. These laws, which have been extensively studied for particles interacting via van der Waals forces, both in experiment and theory [3], identify the interactions via simple isotropic parameters such as a scattering length. However, for dipolar particles, the fundamental interaction is anisotropic and the system properties can depend on the orientation of the gas with respect to a particular direction in space. [4,5].One of the major strengths of ultracold matter is its susceptibility to being controlled by various means. Striking examples include traversing the BEC-BES crossover [6,7], welding atoms together into molecules [8,9], and inducing bosons to behave like fermions in one spatial dimension [10,11]. Most often, such control exploits the quantum mechanical nature of a many-body gas at ultralow temperature, and arises from the manipulation of isotropic scattering between constituent particles. However, in the case of dipolar particles the scattering is intrinsically anisotropic, affording novel opportunities to control the behavior of the gas. For example, the anisotropic d-wave collapse of a Bose-Einstein condensate of magnetic atoms [12,13] and the deformation of the Fermi sphere in a dipolar Fermi gas [14] have been observed. These phenomena rely on the collective behavior of all the particles, occurring according to their mean field energy.Distinct from such many-body effects, dipoles can also influence the properties of the gas via two-body scattering. Since scattering of dipoles is highly anisotropic, properties that require the collisional exchange of energy and momentum between the atoms, such as sound propagation, viscosity, and virial coefficients [15], will be influenced by the presence of dipoles. In particular, differential cross sections of dipolar particles are highly anisotropic, depending on both the initial, as ...