What should you do?

Your answer to continue driving is correct. According to German traffic rules, when you have the right of way—such as when you are on a priority road (indicated by the yellow diamond sign) and the traffic light is green—you should proceed without slowing down unnecessarily. This ensures smooth traffic flow and avoids confusion for other road users. Only slow down or stop if there are obstacles, hazards, or specific traffic signs requiring you to do so. In this situation, since the conditions allow and the rules give you priority, continuing to drive is the proper action.