If you run first thing in the morning, experiment with how much time works best for you between getting up and getting out the door. We all have a perfect amount of time between rising and running that maximizes precious sleep time while allowing the first part of the run to be enjoyable.
With age, most runners find they need more time to feel ready to run. Unless I have to start super early, like at 4:30 before a flight, I get up at least half an hour before I intend to start running. I’d rather get a little less sleep than feel like a zombie the first few miles. That’s a great time to do little tasks, like pay bills and see what work e-mails came over the transom overnight, while still having enough time for some pre-run stretching.