My boyfriend has a propane grill on the patio, it's one of those great big ones that all the guys love. Now, he never leaves it unattended while he's grilling, but I get nervous every time he lights the thing. He's grilled for years and years and never had a mishap, but he has a house and the grill is a good 30 feet from the back door. I'm glad about that!
I would move as soon as possible. You don't need to live with something like that in the back of your mind all the time.