I have a very definite teardrop, but I'm not sure that my embouchure is really off to the side (it's definitely not way to one side, though maybe the airflow isn't even...not sure). As for whistling, I whistle a lot, and consider whistling my "first instrument"

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One point...when I was a teenager, I think I probably treated my embouchure as something decided mostly by the position of the top lip and the muscles at the side of the mouth. Now I find (to the extent that I still play) that my top lip should be firm but not tense, and that manipulating the position of my bottom lip (drawing it in a bit) is more useful. I think I manipulate my bottom lip more than the top lip even in whistling.
Maybe it's because of my mouth shape that I'm firmly in favour of the more relaxed modern embouchure.
It almost sounds to me as if your student is tensing her top lip in such a way as to bring the sides together, which would emphasize the figure 8 shape. I try not to "purse" my top lip inward from the sides, but treat it like a flat flap to manipulate inward and outward.
Middle age relaxes the shape of even cupid lips, so there's hope yet!
My teacher in high school told me that my uneven teeth and full lips made it unlikely that I'd ever be a really top flautist, but I didn't think it was really teeth and lips that were standing in the way of stardom...there was plenty of room for improvement in other areas! Hope your student has not despaired yet.