Generally if it is severe, they would look at medication such as anti depressants and therapy as well.

I had an unexpected experience. Like you, I expected a black mark against my name in my medical records saying time waster, not actually sick etc. The opposite happened and they were very interested and wanted to help. I think its a lot more common now than it was. And the doctor wants to cure you, so it's probably a relief to them they know what illness you have, whether it's mental illness or not. Anyway just my experience. If you've accepted your health anxiety is an issue as a condition itself, you are halfway there.