Q. Vomiting green liquid,no appetite,sleeps almost constantly,very little drinking of her water,hardly any output of feces and urine.
DESTINI R. HOLLOWAY, DVM
A. Your cat seems to be in serious medical condition. It is never good when a cat doesn't eat and going for an extended period of time (days) without eating in cats can create a condition called hepatic lipidosis or "fatty liver" disease which can make her even sicker.
The green liquid you mentioned is bile and this comes from the small intestines and is a very vague symptom of nausea and upset GI tract. It can be associated with many diseases including: dietary indiscretion, pancreatitis, acid reflux disease, etc.
And low urine and feces output means that you pet is not getting enough nutrition overall, I am very concerned and encourage you to get her seen by a vet for a thorough physical examination and diagnostics (i.e. CBC, Chemistry and potentially x-rays and ultrasound if needed).