The term 'A City in Western Texas' can be answered with the 6-letter word 'Odessa'. Odessa is a city located in Ector County, Texas, United States. It is located in the western part of the state and is the principal city of the Odessa Metropolitan Statistical Area, which includes all of Ector County. The city is known for its oil industry, ranching, and its annual Odessa Rodeo. It is also home to the University of Texas of the Permian Basin.