Spot metering on her face would have given you better exposure, but probably not accurate. Her face is brighter than middle gray as well. Ideally, you could use a grey card or a flash meter, but without those tools, I'd start with an FEC of +1 and go from there. One thing to check (in your manual), is what metering mode/pattern your TTL flash uses. Just because you put the camera's meter into spot mode, doesn't mean that the flash will meter in just that spot.
As for the shutter speed....first I'd suggest getting the camera out of auto (at least when shooting with flash). Remember that shutter speed has no affect on flash exposure (as long as you stay below the max sync speed). So what I would probably have done, is put the camera into manual and set the shutter speed higher, maybe up around 1/200. This would mean underexposed photos if we were relying on ambient light...but we are working with flashed light here. Plus, by using a faster shutter speed, we are cutting down the ambient exposure, which is usually a good thing, because the color of the flash and the ambient light are probably different, and it's not good to mix the two.
So what I do, is to have the camera in manual mode (flash in TTL). I set the aperture for the DOF I want, I set the shutter speed for the ambient light I want and I set the FEC for the reflectivity of the subject. The ISO is also used to control ambient exposure.
With that said, I also keep in mind that using a wider aperture and/or a higher ISO, will mean that my flash doesn't have to work as hard. So for a wedding reception etc. I'll use something like ISO 400 or 800. It lets in a little more ambient (I don't want to cut it all) and by using less flash power, the flash recycles faster and the batteries last longer. For a portrait sitting like this, I'd use a lower ISO and more flash power.
Lastly, by using the shutter speed to control the ambient exposure, we can do a lot of different things. In this case, we probably want to lessen the affect the ambient light might have, because we don't want to mix the colors. But in many cases, you want to balance the flash exposure with the ambient exposure, which can make your photos look more 'natural'. This usually involves using a slower shutter speed, to let in more ambient lighting....it's often called 'Dragging the shutter'. This will often give you a color difference, but that may or may not be an issue. Ideally, you could color your flash with a gel, to match the ambient lighting.
And lastly, lastly...there is the issue of motion blur. Yes, a lower shutter speed can give you blur...but only from ambient lighting. The flash exposure will still be sharp, even if you have a two second shutter speed. So even when shooting with flash, you can still get motion blur, but only if there is enough ambient exposure in the photo. It's all one big balancing act.