Hello I am Dr. Joey. Thanks for trusting me to help you and your pet today. I am a licensed veterinarian with over 15 years of experience. I look forward to working with you.
I'm quite worried about little Chanel. So young to have these issues. Good job trying to get some formula into her. The most important you can do at home is to keep her eating and keep her warm. If she is getting progressively less responsive and more lethargic, then this has become a medical emergency. She has no reserves at this point and could die from dehydration secondary to the diarrhea
, which it sounds like has been tough to keep up with since she is not eating well.
As a side note, if she is only 4 weeks, then she would really not be old enough for solid cat food. She should be eating kitten formula (not dog formula or cow milk or goat milk). Some kittens at 4.5-5 weeks may start to nibble real cat food, but it can lead to diarrhea due to the stomach/intestines not quite ready to deal with it.
As far as the cause of this diarrhea and lethargy, I could not guess. At this age we can see viral problem, rarely parasitic, sometimes food-related (diet changes) or sometimes congenital problem (organ failure, etc). But the best for her would be to be seen on emergency by your veterinarian for an exam and then some rescue fluid therapy, if needed to get her electrolytes and blood sugar elevated, get her warmed up and then try to figure out the cause.
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