Soooo not safe for celiacs - they have high turnover of staff w high school and college kids. They told me that they keep the grill not enough that it burns off the gluten 🤦🏼♀. Yes they have a gf bun - but if you're Celiac don't chance it. They also use the same machine for malt and reg milkshakes so don't chance that either.
Go next door to Dog Lane Cafe if you want a safe gluten free burger. Tell them you're Celiac and they'll prepare in the separate area