E.H.
My 25 mo. old son was bit by our dog this past summer. It was a little more serious than what you describe. He had two puncture wounds on his face from the dog's canines about 1/3 in. in lenth, one below his right eye and the other beside his mouth.
He should've received stiches, but the plastic surgeon advised against it because animal bites are more prone the infection if stitched.
I was terribly worried that the scars would be awful. So far, they seem to be healing nicely. The redness is fading away faster, now that's it's winter and there's less exposure to sun.
The doctor explained that if I'm not happy with the way it heals, he can do revision surgery at 4 or 5 years old.
But honestly, now that it's been some time, I don't think it's necessary...just like the doctor predicted I'd feel.
Just keep the scar protected from sun, even in winter, by applying a little sunscreen. Keep it moisturized by massaging in vitamin E oil or some equivalent, and the scar should lessen.
Don't worry. It will be unnoticable with time.