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UTe₂ is a promising candidate material to embody bulk topological superconductivity due to spin-triplet pairing. Moreover, the newly discovered CDW state coexisting with superconductivity in UTe₂ motivates the exciting prospect that a PDW state may occur. To search for a PDW in UTe₂, we visualize the pairing energy-gap with μV-scale energy resolution made possible by superconductive STM tips at subkelvin temperatures. We detect three PDWs, each with gap modulations circa 10 μeV and at incommensurate wavevectors that are indistinguishable from the wavevectors of the prevenient CDW, but with a  spatial-phase difference. From these observations and given UTe₂ as a spin-triplet superconductor, this PDW may presage spin-triplet pair density wave physics.