Sensitive Sweets - Dedicated Gluten-Free Nut-Free Bakery – Sensitive Sweets Bakery > OPEN 11am-5pm Tue-Sat. Walk-into the bakery or order online. Sensitive Sweets specializes in gluten-free, dairy-free, egg-free, peanut-free, soy-free, nut-free, and Vegan baked goodies. SHOP NOW Featured 6 Cupcake Cups (SHIP) Schedule a Tasting Appointment.