Have Cat Questions? Ask a Cat Vet Online.
You should be very worried. Any time that a cat won't eat for more than 48 hours, you are in serious trouble. Their liver can fail and then the cat can die. It is called hepatic lipidosis where the liver thinks it is being starved and starts "grabbing" fat cells...and actually ends up killing the liver.
I suggest that you see the vet first thing tomorrow for a full exam and possibly bloodwork to find out what's going on.
This is often caused by a parasite problem so you will want to have a fecal done if you have not had one in a while.
Let me know if you still have questions.