My older boy gives me playful love bites on the nose every day. He has great bite inhibition and knows how to use his teeth very gently. First he kisses me and then he goes for the nose.
Teach your pup bite inhibition. If you don't want her biting your nose, simply tell her "no bite." I also put my hand up giving the "stop" signal.
I understand your pup took you by surprise, lol, but to teach a dog, I believe it is best not to have such a big reaction. Reminds me of the morning I woke up and let my little pup out of his pen and he started biting my toes. To him it was a game, but I was half awake and jumping around like a lunatic trying to escape the little devil.