You can ask for anything you want. You are paying him, right?
I would also recommend he give you a full blood panel, including a thyroid test. PCOS is linked to prediabetes, which should show up on a blood test. However, since you don't have elevated blood glucose levels, your condition may be something else, but there is no harm in checking. If the test comes out normal, ask what other things could be causing your symptoms. Don't let him tell you that you are fine or that your symptoms aren't real or any of that. If he won't help you, find another doctor.
Good luck.
