Should he get a second opinion?

You should definitely go see another doctor. I would never go to a doctor that didn't take my health seriously, especially if I needed medication. Depression and anxiety is a serious health condition and everybody is not the same. So what would work for one person, might not work for another. If your partner needs medication then they need to get it A.S.A.P. I am 27yrs old and I have been fighting depression and anxiety for years. I went through a similar problem with my therapist and medication, so I went to see somebody else and they gave me the meds that I need to help me fight the symptoms and live my life. It was the best decision I ever made and now my condition is stable and better to manage. Good luck.