Oh poor you! I'm sure you're much more upset about this than DD!

You've done a great job by taking her to hospital to have the wound fixed.

Once the wound is well sealed you could consider Rosa Scarless Healer which is a herbal cream. Do an internet search for ideas of where to buy it.

As Traveller said, bubs do heal quickly and thoroughly. But in the event that a tiny scar does remain, remember that it WILL be tiny compared to the rest of her face as she grows up! And which of us do not have small scars and marks to remind us of our spills when we were young? I for one have little bumps on my lip where my tooth went through my lip, many people have chicken pox scars, and so on. It is all part of what makes us unique and she'll love to tell the story of the tiny little mark under her eye if anyone asks her about it down the track.