Hawes in Upper Wensleydale has a population of just over 1,000.
There is only one petrol station in the town, and it has higher pump prices than other locations that already receive a discount.
If it were to close, drivers say they would face a 34-mile round trip to fill up.
That's why it's been chosen as one of 10 areas that could benefit from a 5p-per-litre fuel duty cut.
Chief Secretary to the Treasury Danny Alexander said: "As a Highlander, I know all too well that fuel prices tend to be highest in areas where a car is needed the most."
More top news
A look ahead at the forecast for the Tyne Tees region - things are getting stormy.
North East MPs Chi Onwurah and Simon Clarke argue for and against the controversial reform
Work to paint the pier of the new Wear Crossing has been halted after specks of paint were found on cars.