There could be several reasons why a girl keeps looking at you but doesn't talk to you when you approach her. It's important to remember that human behavior is complex, and there could be various factors influencing her actions. Here are some possible explanations:
Shyness or Nervousness: She might be shy or nervous around you, which could make it challenging for her to initiate or carry on a conversation. Some people feel more comfortable observing from a distance before they feel ready to engage in direct communication.
Lack of Confidence: She may lack confidence in her social skills or worry about saying the wrong thing. This could cause her to avoid conversation altogether.
Interest or Attraction: One possibility is that she is interested in you but is unsure how to express it. Some individuals might find it challenging to communicate their feelings openly.
Cultural or Social Factors: Cultural or social norms might influence how she interacts with others. She might be more reserved or have specific rules about communication with someone she is not well acquainted with.
Misinterpretation: It's essential to consider that you may be misinterpreting her behavior. Sometimes, prolonged eye contact may not necessarily indicate interest; it could be a coincidence or due to other reasons.
Personal Circumstances: She might be preoccupied with personal issues or concerns that affect her ability to engage in conversations.
If you are interested in getting to know her better and feel comfortable doing so, you could try approaching her with a friendly and non-threatening demeanor. Be respectful of her boundaries and give her time to open up if she wants to. If she continues to show signs of disinterest or discomfort, it's essential to respect her feelings and give her space.
Ultimately, the best way to understand her behavior is to communicate openly and honestly. However, it's crucial to be considerate and sensitive to her feelings, especially if she appears hesitant to engage in conversation.