It seems that to date at least, your house has not burst into flames while you were home and your oven was on..... I'd take the chance that it's safe to travel to the airport and back.

Gas oven? No greater worry. After all, doesn't that gas heating system in your house come on when the thermostat tells it to, whether you're home or not. Comparing a gas oven and a gas furnace for potential gambler's odds for "house bursting into flames" make it safe to bet against home ignition from either.