Hello danxt, welcome to Psych Central.

I know plenty people with several diagnosis with many different combinations. Infact some combinations often go together. Anxiety and depression for example. Many people with DID have other diagnosis going on at the same time and this is quite usual. I don't see psychologists trying to give people one diagnosis. Psychologists help people with whatever symptoms they have. Sometimes a mental health professional will try and treat the most urgent symptom first but I don't see why any of them would deny a diagnosis, there would be no reason to.