I'm very allergic to mold, among other things (all airborne, no food allergies). I also adore sourdough bread. If I were to make my own sourdough starter so I could bake sourdough regularly, would it a) be similar enough to mold to set off my allergies, or b) be likelier to attract mold than anything else in my kitchen?
No. Sourdough culture is not a mold.
Even when the surface of your sourdough gets moldy (per Adam, above) to get moldy, it's not the kind of mold which releases spores into the air.
I speak as a severe allergy sufferer.
Sourdough starter will grow mold if it starts going "off". If it's healthy, it will naturally prevent mold from growing, but if you forget to feed it for too long and/or the container it is in is dirty, it can start growing fuzzy stuff.
Feed your culture regularly, and transfer it into a clean container now and then, and it will be fine.
My starter and I are cohabitating just fine, though he's staked out territory in the fridge rather than sitting on my counter. He's my new favorite hypoallergenic pet: the benefits far outweigh those of fish. Seems I was worried for nothing!