I'm going to assume no flash use for this answer about metering. With proper flash use, you'd have an entirely different photo and this wouldn't so much be about metering as it would be about proper use of fill flash....
If you'd properly exposed for her face, you would have blown the highlights in her hair and right arm so far out they would be completely unrecoverable. You'd be stuck with very distracting white blazes in those spots that would detract from the overall image quite a bit. Exposing the way you (your camera) did, you have no blown highlights and no lost shadows, from what I can see. The image is, for lack of a better term, "histogram happy," and you camera did what it was supposed to do. You now have leeway to fix it in post production by bumping up the shadows, as another poster did, and leaving the highlights where they are.
Of course, you don't want to get in the habit of intentionally underexposing the image
unless you're trying to preserve highlights. In this case, the only solution would be to move your model out of the harsh mixed lighting or do a better job overcoming it with artificial lighting or reflectors. Lighting is tricky, even outside where there's lots of it!
I agree with another post, try playing around with Av or even P outdoors with flash. Av will always make the flash act as fill lighting, while P will let the camera decide whether to make the flash the main light or the fill light while exposing for ambient lighting. In sunlight, it will choose the latter.
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