A simile would read as follows: Your hair is like the golden sun shining around your face.
The same thing expressed as a metaphor would be: Your hair is the golden sun shining around your face.
The difference is subtle, but the simile is always saying something is LIKE something, and the metaphor refers to it as that thing flat out. At least, that is what I was taught in my English Classes, many of which were like a drill boring through my eyes (see, now THAT was a simile).