The owl may be staring at you for the following reasons:

Perceive movement: they are very sensitive to changes in the surrounding environment , may be curious about your existence.

Hunting Instinct: When looking for prey, it will closely observe its surroundings.

Territorial awareness: If it is in its own territory, it may be wary of potential threats.

Visual acuity: Its eyesight is very good, and it may simply see you. However, this does not necessarily mean that the owl has a specific intention or meaning. Their behavior may simply be based on instinct and nature.