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This is Dr. KV. I'm here to help with Kali. Would it be possible for you to upload a picture of her face?
Thank you for the picture and further details. Your theory would make sense and explain some of her symptoms...spider and snake bites can be very painful and cause a large amount of swelling in some cases. I recommend taking her in to see your vet to examine her nose and ensure something else is not going on. Cats can have nasal swelling due to fungal infections, polyps and sometimes nasal tumors. If she is still not feeling well, she may also need antibiotics and pain medication.
Do you have a local mobile vet who could come to your home to minimize the stress of transport? If not, you could check with your vet to see if they may prescribe a sedative for the visit that you could give her in her food before the exam. If the nasal swelling is still present, I would advise to get her examined.