A psychologist lets people talk to them. A psychiatrist can do this. BUT! They can prescribe medication which a psychologist cannot do. They can also arrange impatient care if required.In fact, that difference of outlook between the two spouses is the very essence of discernment counseling. If you go back to that website, and look at the series of three videos ("join the free training") you can view its focus even more clearly.
When she came out of the hospital, she was seeing a psychiatrist because there was medication being prescribed to deal with the psychosis. I would not try to rank psychiatrists against psychologists--each have their areas of expertise--but I agree that something should be done. I have tried, but have not yet been successful in getting to see one (other than for the alcoholism part).