Just to get my bearings straight, I shall ask myself this question: What makes a cough chronic? And the answer: According to the Mayo Clinic, "A chronic cough is a cough that lasts eight weeks or longer in adults, or four weeks in children." (Mayo Clinic, 2016).
Then I shall ask this question: "Did the patient come in to evaluate a chronic cough or just a regular cough (less than 8 weeks duration)?" When it's said: "also get her prescriptions for her chronic conditions refilled," what are those chronic conditions?
I would code the cough if it was actually assessed and documented by a physician or qualified healthcare professional. I would also code the repeat prescription with the Z-code you have right there. If the chronic condition(s) are documented in the record, then I would code those too.
I remember being taught that if a patient has a chronic and/or lifelong condition (e.g. diabetes), then we code the diabetes every single visit. I can hear the voice of my Professor right now: "If there is an acute and chronic condition, we code the acute condition first, and the chronic condition code second. This is often called: Acute-on-chronic."
Sincerely, Jacob