Your cat is sick. It is bleeding from it's nose, and has green discharge (pus). You touch her chest and she responds as though she is in pain. Those symptoms alone should tell you to GET THE CAT TO THE VET!!!

Whether it is your parents' cat or your cat, just make sure it gets there. Cats get sick quickly and can also become deathly ill just as quickly. The cat cannot get herself there on her own, and she is depending on her OWNERS and CARE TAKERS who are RESPONSIBLE for her well being to do what is in HER BEST INTEREST.

Please. Get the cat to the vet ASAP. I know it costs money, but waiting like this can cost your cat her life. Please do allow her to suffer, because that is what she is doing. Suffering.