Gluten-Free is on the menu, but the same kitchen also prepares what you avoid, so cross-contamination is possible. Tell staff what you react to, and ask how your dish is prepared before you order.
Bregenz's most traditional inn, in the upper town, and the place coeliacs in the city go for a gluten-free Wiener Schnitzel. The kitchen is shared, and there is no gluten-free bread, so order with the staff.