I have a hen who is at least five years old. She has been broody for months. I just let her have it and do not try to discourage her. This past weekend I went to the coop and noticed that her comb is pale and I can see that she has a clear discharge on her beak from her nostrils. She also sounds rattley in her breathing. It's bitterly cold so I fixed her up a spot in the house for her to warm up. I called around the farm supply places nearby and only one has any sort of antibiotic, and it's penicillin. I've watched some videos about giving an muscular injection and I am inexperienced but not afraid to try it. Is pencillian appropriate for her issue though? Looks like it might be more for treating a wounded bird? In the past I've tried the stuff you put in their water that smells sort of menthol and didn't find it to be helpful. I appreciate any advice or guidance. Thank you.