What is the ruling on the mixing that occurs twice a week in the work environment, knowing that the questioner adheres to the Shariah guidelines in her dress and addresses her supervisor regarding work matters only, while avoidingKhalwa (private seclusion with a member of the opposite sex)?

We praise Allah for your steadfastness and your eagerness to know the religious ruling. There is no blame upon you for continuing your work, as a woman's work is permissible within its legitimate Islamic guidelines. Your being alone with the supervisor in his office—with the presence of a glass partition and the door open, allowing others to enter—is not considered an unlawful khalwah (private seclusion).