Medications are completely sealed and could not come into contact with anything like food. But I do understand that a certain paranoia might exist in that area. They are not supposed to be at room temperature for more than 30-45 minutes, and are delivered in a refrigerated van.
Thanks so much to everyone for the detailed input and suggestions! I will plan accordingly.
Good point, but the rules are a bright line. The crew may not handle passenger meds and they may not store them in containers also used for food even if the passenger is the only person touching the medication.