But poppy, you said that you are not sure if she did. You also say that your DD was laughing, and that you had been tickling her feet.
This is a puppy, who saw an exciting game, came to join in and play. You turned your back when you knew that you had just geed up your little girl.
If she had hurt your DD in any way, you would know. If nothing else there would be a little redness. She didn't.
How sad for a dog to be taken for rehoming with 'she had her teeth on my DDs cheek', when in actual fact:
"when I turned around I glismed out of the corner of my eye the dogs teeth near my dds cheek, on her cheek I think. DD was laughing and I called the dogs anme straight away and she came and sat back next to me."
Your puppy came back to you straight away when called. Your DD was unhurt, you are not even sure what you saw.
Just be diligent and watchful. Separate the two before they get too excited. Watch for signs that your DD may invade your dog's space.
Teach your DD to be respectful of your dog, also. They learn incredibly quickly. DD2 knows now at 18mo to be gentle with our dog, and to use a flat hand to stroke him.