This question has much to do with aesthetics, which is subjective. If I saw you in a photograph and in a mirror, I might have a different opinion than yours: I might think that you look good in both, or in neither. What other people see (generally) is closer to the photo image in the sense that the image is not flipped left to right. However, the camera does distort the image in other ways, especially at extreme focal lengths.
I don't want to get too technical here in explaining what a focal length is, so just consider how an image looks through a door peephole and how an image looks through powerful binoculars. Relative to the focal length of your eyes, the peephole and the binoculars distort the image in opposite directions.
Most cameras, unless you set them at precisely the right focal length, distort the image in ways that your eyes never would. However, even at the right focal length, we're talking about a still image. And even with video, we're still talking about a 2-dimensional image.
I want you to try two experiments: take a picture of yourself in the mirror. Have a close friend take a picture of you. Compare the two pictures.