Maybe you could just put her in her house (crate) or whatever her safe place is when you run out, then your mind will be more at ease. These little worries us half to death most of the time
Zhoie has always went to her house when I go out. I believe she feels more secure/safe in there. All I have to do is say "mommy's got to go out and you can't go" she will scurry to the sunroom and hop in her crate. Heck, I can leave the door open and she doesn't come out until I come back, LOL.
I too feel much more secure with her in her house, in case of fire or something, they can find her to rescue her quickly. I've read where dogs will hine in a case like that and weren't found. Yep, I'm a worry wart