Service animals trained for "emotional stress" are not service animals under the ADA. It's become really popular lately to register your dog as a "therapy dog"/"emotional support dog" or even just claim that it's registered as a therapy dog in order to get it into restaurants, however, this registration legally means nothing, and gives the animal no special rights of entry.

Service dogs must be trained to perform a task (not just alleviate stress with their presence) for a very small list of tasks defined by the ADA. Business owners have a right to refuse entry to "emotional support animals" http://www.nolo.com/legal-encyclopedia/psychiatric-service-d...