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.
The Appenzell village bakery the Swiss coeliac society lists as a member: it has baked for coeliacs for over 25 years in a separate room, exclusively gluten-free on three days a week, and gluten-free goods are over a fifth of its business. Café attached, and the range ships nationwide.