The weather widget is part of SHOUTcast Widgets v7 + and makes use of the weatherapi.com free api key option which allows for up to 1 million API calls per month at no cost. The weather widget is set on a timer and automatically calls the API each hour to gather weather data including current and forecast temperatures. The data is then written to a file which is then in the widgets. It doesn't matter how many visitors you may get to your website and widgets, your monthly quota would not reach anywhere near 1 million.
Sign up and grab your free Weather API Key Here