Aww thanks for adopting her! I'm not surprised she's got an infection, coming from a shelter situation. I'm sure your vet will fix her right up :)
ohh how sad :( I'm glad I'm getting her in then. Thank you.
No, dogs cannot catch a cold. But the green colour of the mucus means that there is an infection, probably bacterial, in the upper respiratory tract. The best thing you can do is make sure she sees a vet as soon as possible. She will likely need antibiotic treatment. I hope she will recover very soon.