I have the same model thermostat. Many reports of screen going blank, especially once the warranty is up. Replacements are very pricey and must be installed by a Lennox licensed Pro for warranty. Humidity sensor goes out of whack too. Never connected mine to WiFi. My suspicion is with it's Internet security. Is yours connected to WiFi? Does it come back to life if removed from the mount and re-inserted? If so, try turning off the Wifi and see if it runs again.
If not, it's time to ditch these proprietary gizmos and go with DIY models like Honeywell RTH series or Sensi Touch 2 (by Emerson). Honeywell and Emerson are two of the original sensors & controls people.
You will need extra wires (the 10F81 runs on four wires). Unused extra wires may already be in the wall. If not, it may still be worth running the needed extra wire or two so you can take back control of your comfort

If you decide to go that route, your system installation manual will have details on how to connect to a non-communicating thermostat. You can ask questions here as well.