My cat won't eat for days

Hello, first, I want to tell you the chronology. So, my cat is sick. The night before he got sick, he was still fine, still playing happily too. The next morning when I wanted to feed him he didn't want to. Then when I carried him to feed him, I saw some dirty fluid from his ear. I thought it was an ear infection so I dropped it with dropped medicine. But, for 3 days, now the cat still doesn't want to eat. The ear is still leaking a little fluid. Then, this morning I looked for him but he wasn't around the house, it turned out he was stuck in a dry gutter. Because he hadn't eaten for days, he had no energy, so he couldn't climb up by himself. Maybe he had been in the gutter all night. Then I carried him, I moved him to where he usually sleeps. After I put him down, suddenly he seemed like he was going to vomit but there was nothing in it. His voice was "grook grook" and it lasted quite a while. About 1 minute. After I approached him, his mouth smelled like a corpse and the lower part of his mouth was dirty. I want to take him to the vet but there are no vets in my area. I'm confused about what's wrong with my cat and what should I do? Please help and advise. For information, my cat is a stray cat that often comes to my house to ask for food. So I never let the cat into the house at night. I'm worried that it will defecate carelessly while I'm sleeping. So I don't know what happened at the night before he got sick.

Hello - I'm afraid it sounds as though your cat hasnt eaten or taken in a significant amount of fluid for a comparatively long time now.  Further to that, they are vomiting but have nothing to bring up, which can only serve to dehydrate them further.  When dehydration is a risk, it really cannot be treated in the home, especially when a patient isn't eating or drinking for themselves; IV fluids would be needed.  Underlying causes could range from 'something they ate' through to intrinsic causes such as diabetes, liver or kidney disease or cancer.  In those cases, there may have been no sudden calamity two days ago; these things tend to creep up.   Please do get your cat to a vets to be assessed for the care that thry need.

When a cat is described as 'my cat,' they rarely count as a stray.  However there are charities for homeless cats who may take the case forward for you and find them a home.  Wishing you and your patient the very best of luck.