A near-inertial wave stalling and breaking in a critical layer was observed for a week by a pair of autonomous velocity and density profilers on concentric paths in an ocean eddy. Profiler observations also provide estimates of the eddy’s vertical vorticity and shear, quantities needed to test theories of downward near-inertial wave (NIW) energy flux and loss from inertial wave–eddy interactions. The unique observations of the wave’s intrinsic frequency ᵱ4;_ᵅ6; and vertical wavenumber ᵅA; provide a novel estimate of the vertical group velocity C_gz from changes in ᵱ4;_ᵅ6; with respect to ᵅA;. Shear, strain, energy flux convergence, and parameterized turbulence are all elevated near 140 m depth, near the bottom of the strongest eddy velocities. Our observations are consistent with a downgoing NIW’s group velocity decreasing owing to wave–eddy interactions, providing important clues on global energetics of NIW mixing.