We report the discovery and characterization of TOI-2005 b, a warm Jupiter on an eccentric (e similar to 0.59), 17.3 days orbit around a Vmag = 9.867 rapidly rotating F-star. The object was detected as a candidate by Transiting Exoplanet Survey Satellite and the planetary nature of TOI-2005 b was then confirmed via a series of ground-based photometric, spectroscopic, and diffraction-limited imaging observations. The planet was found to reside in a low sky-projected stellar obliquity orbit (lambda = 4.8-2.5+2.3 degrees) via a transit spectroscopic observation using the Magellan Magellan Inamori Kyocera Echelle spectrograph. TOI-2005 b is one of a few planets known to have a low-obliquity high-eccentricity orbit, which may be the result of high-eccentricity coplanar migration. The planet has a periastron equilibrium temperature of similar to 2100 K, similar to some highly irradiated hot Jupiters where atomic metal species have been detected in transmission spectroscopy, and varies by almost 1000 K during its orbit. Future observations of the atmosphere of TOI-2005b can inform us about its radiative timescales thanks to the rapid heating and cooling of the planet.