At the forefront of topological superconductor candidates is UTe₂, a triplet superconductor that offers a rare example of a charge density wave (CDW) in the presence of Kondo screening and heavy fermion quasiparticles, although the origin of this order remains elusive. Here we report high resolution Scanning Tunneling Microscopy (STM) experiments on the UTe₂ (011) surface, below 100 mK and under magnetic fields up to 20 T. Under these conditions, we characterize surfaces and the local density of states, as well as resolve the primitive wavevectors of the CDW in this material, that we relate to the Fermi surface derived from density functional theory (DFT). The heavy fermion hybridization pattern is spatially modulated specifically at these wavevectors, suggesting that surface-induced modifications in the U 5f electron valence enable a novel form of purely electron-driven charge ordering.