Thanks to Go Dairy Free viewer Liz for emailing this great recommendation:
"The Steeping Room at The Domain has vegan and gluten-free options/substitutions on their menu. They offer almond milk, rice milk, and soy milk. And their Mexican Hot Chocolate can be made vegan with any of those non-dairy milks! The servers are knowledgeable about food allergies/preferences and helpful with their suggestions."
They offer breakfast, brunch, lunch, dinner, and sweet treats in this restaurant and tea lounge. According to their website, they focuse on high quality ingredients. The menus (viewable on their website) seem to be modern, yet casual.
Location: 11410 Century Oaks Terrace, Suite 112, Austin, TX