Dreaming of a woman in a white dress can have several interpretations, often depending on the emotions you felt during the dream and your personal associations with the imagery.

1. Purity and Innocence: The color white typically symbolizes purity, innocence, and new beginnings. This could indicate a desire for clarity or a fresh start in some aspect of your life.
2. Aspirations or Guidance: The woman may represent a guiding figure or an aspiration. She could embody qualities you admire or seek to develop in yourself.
3. Reflection of Self: The act of her staring at you could suggest self-reflection. You might be confronting aspects of your personality or unresolved feelings that require your attention.
4. Unresolved Emotions: If you felt discomfort or fear during the dream, it might symbolize unresolved issues or feelings related to a woman in your life or aspects of femininity.

Consider the context of your waking life and how these themes might relate to your current experiences or feelings. Reflecting on these elements can provide deeper insights into the meaning of your dream.