"When an artist wants to avoid portraying symmetry in a character’s face, they may choose to draw the hair falling over one eye. This technique adds asymmetry to the face and can create a sense of mystery or depth in the character’s appearance. By covering one eye with hair, the artist can also draw attention to the visible eye, making it a focal point of expression."
https://norse-mythology.org/tales/why-odin-is-one-eyed/