My guinea pig won't eat or drink and she has gunk in her eyes This winter is also very cold and shes been staying outside Is it because of her being outside shes sick?

You should not keep your guinea pig outside in the winter! They're natural climate is not cold and they cannot handle the cold. Your pig probably has a respiratory infection and she needs to see a vet right away. Please, please keep your guinea pig inside, even if it is just in your warm basement. They cannot handle winter weather. put the f%$# guinea pig inside!