The Hudson Jet Wikipedia entry mentions some of the decisions that affected the car's appearance. Fundamentally, it was too narrow and probably a little too high. It looked somewhat similar to 1952 Fords that were much better proportioned. I could quibble about some of the details such as the grille bar, but see no point to doing so given the bad overall proportions dictated by the package Hudson management insisted on.
Other observers have suggested that Hudson should have put the Jet's development money into a V-8 motor (Hudsons were powered by straight-sixes) and restyling the standard Hudson line. Even a well-design Jet might have failed in the marketplace because the American car-buying public was about five or six years away from becoming enthused about smaller cars (Nash Ramblers at the time were at best a niche-success). And Hudson was doomed anyway, along with other smaller American car builders such as Packard and Studebaker that died in the late 1950s and mid-60s.