So here comes another side effect of me taking this puppy to early

. I have tried researching this issue as it came up yesterday after the vet closed. I have boiled it down to 4 issues.
The issue: The puppy is losing small patches of fur (so far in 2 places). At first Mange was the first and only thing I could think of. But all of the pictures I found of Mange just kind of made me doubt it. The second thing which I think this issue truley is, is ring worm. The areas where she has lost fur is relativley small (on her paw and her nose) and the skin is kind of crusty (looks dry). The only 2 other things I found that I think it might be is a food and or stress allergy and somthing called sebborhea. It first started out on her paw (we noticed friday night) and I figured she was just licking herself and it was a hot spot and we would just watch her and make sure it doesn't continue. At some point last night I noticed she had a "ring" of fur missing on her nose and thats when I became worried. She can't lick her nose so obviously its not a hot spot. What do you guys think. She is going to the vet again first thing tomorrow. This is what happens when you dont let a puppy build its immune system
Pictures (bad quality sorry):