When you say head pains, do you mean headaches? Or is it emotional, psychological pain? If it's psychological then you don't need a neurologist.
What you need to do is find a new family doctor then if you are too far from your old one though usually they will refer you to a psychiatrist anyway for psychiatric meds. People on the phone usually have no idea what they are talking about especially if they are only secretaries. You need to figure out what you want to do and find a way to do it regardless of what they say on the phone.
Why would a term discourage you from seeing someone? and a psychiatrist doesn't talk to you. You see them, you tell them this or that and they give you pills. It never lasts longer than the first session which is usually like an hour and the other appointments are only for pill management. They generally do not care what is going on in your head and just want to drug you up. A therapist or psychologist are the ones who use psychotherapy to help your issues. All psychiatrists have a long wait list but if you want drugs then the wait will be worth it.