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Hello, I'm Dr Gary. I've been practicing veterinary medicine since 2007. I look forward to helping with your questions/ concerns.
Could you take a picture of the nose and post it here?
Got it. I'm working on an answer now.
I'm really worried about your cat. This looks like a squamous cell carcinoma. These are common tumors of the nose, mouth or eye in cats. They will often times have that red lumpy look and they will ulcerate and bleed on occasion.
These are not tumors that spread to other parts of the body all that commonly, but they are locally invasive and they grow in areas where they cannot easily be removed. Most of the time we'll try to remove as much as we can and then see how long until it starts to re-grow. Radiation therapy is ideal, but the availability and expense makes it an unrealistic option.
If you want to use something topically, I would just use a triple antibiotic like Neosporin. You could also look into ordering SSD (silver sulfadiazine) online as it's easy to apply and works well.
I hope this helps, let me know if you have any other questions.
You're welcome. Good luck with her.