Exposure to dust and sunlight typically triggers skin irritation, allergies, or clogged pores rather than a direct bacterial infection, though scratching can introduce bacteria. For a mild bacterial infection, a topical generic antibiotic cream like mupirocin or fusidic acid is commonly used. However, it is important to have a healthcare professional examine your skin to determine if it is an infection or a reaction like contact dermatitis. In the meantime, wash your face gently with a mild cleanser, avoid picking at your skin, and protect it with a broad-spectrum sunscreen. Please consult a doctor for a proper diagnosis and tailored prescription.