So the rural country road is inside the Temple City Limits?
That is an odd way to describe a city road even for Texans.
I'm not familiar with where this incident occurred, but city limits frequently extend well beyond the built-up areas of the city, even in cities outside of Texas. Most Texas cities are low-density, populationwise. Further, many unincorporated towns contract out their police duties to better-funded agencies. So it's not at all out of the realm of possibility that a Temple police officer had enforcement duties well into a rural area.