courteously

This adverb describes behavior that is not only polite but also characterized by a level of refinement and consideration for others. It often implies a professional or formal standard of conduct, making it highly suitable for contexts involving customer service, diplomacy, or social etiquette.

While "politely" is a close synonym, "courteously" carries a stronger connotation of chivalry or a deliberate effort to be gracious. It suggests a proactive desire to make the other person feel respected and comfortable, rather than simply following basic social rules.