The Pacific Ocean Neutrino Experiment (P-ONE) is a proposed undersea neutrino detector in the northern Pacific near the British Columbia-Washington maritime boundary, with pathfinder instrumentation already deployed. P-ONE will consist of 1400 digital optical modules distributed across 70 strings. By deploying in a deep-sea environment, the scattering of Cherenkov photons is reduced relative to experiments in glacial ice, allowing event resolutions at or below a tenth of a degree. In this poster, we present and evaluate using Monte Carlo simulations a track reconstruction method that is based on a maximum likelihood method. Recorded light pulses are evaluated using pre-computed arrival time distributions of Cherenkov photons at optical modules as functions of track parameters. The corresponding angular resolution of the detector, when combined with the anticipated neutrino effective area, can be used to estimate the discovery potential, the flux needed to discover a point source of astrophysical neutrinos with P-ONE.