The Santa Fe impact structure is an eroded remnant of a bolide impact crater in the Sangre de Cristo Mountains northeast , New Mexico. The discovery was made in 2005 by a geologist who noticed shatter cones in the rocks in a decades-old road cut on New Mexico State Road 475. Shatter cones are a definitive indicator that the rocks had been exposed to a shock of pressures only possible in a meteor impact or a nuclear explosion. It is called an "impact structure" and not a crater because it is so deeply eroded. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On Mars large craters are named after deceased scientists, writers and others who have contributed to the lore of Mars. Small creaters (less than 60km) are named after small towns and villages.