Staring at someone from afar and making occasional eye contact can have different meanings depending on the context and the intentions of the person doing it. Here are some possible interpretations:
Admiration: The person might be admiring the other person's appearance, demeanor, or something about them. In this case, the intention is likely positive, and it may not be considered rude, though it's essential to be respectful of personal boundaries.
Interest: They may be intrigued by the other person or curious about something related to them. It can be neutral in intention, but prolonged staring might make the other person uncomfortable.
Attraction: The person could be attracted to the other person, and the eye contact might be an attempt to initiate communication or convey interest. In this situation, the intention can be more personal, and it's crucial to be respectful and considerate of the other person's feelings.
Intimidation: In some cases, prolonged staring from afar might be intended to intimidate or make the other person uncomfortable. This is generally considered rude and can be perceived as threatening.
Ultimately, whether staring at someone from afar and making eye contact is considered rude depends on several factors, including the duration and intensity of the gaze, cultural norms, the relationship between the individuals, and the context in which it occurs. In most situations, it's best to be mindful of others' feelings and personal space and avoid prolonged staring or making someone feel uncomfortable. If you find yourself making eye contact with someone from afar, a polite smile or nod can help defuse any potential discomfort.