I have no idea about homeopathy. However, I have seen many of my relatives and neighbors administering homeopathic medicine to their sick cat. I am wondering if this approach is right or wrong.
It's worth remembering homeopathy in the Indian context is a little strange, occasionally pulling in aspects of various native medicine, and well, some homespun oddness.
Any alternative medical system, without a solid grounding in the species in question and used opposed to, rather in conjunction with modern veterinary science is a wee bit suspect to me. I wouldn't bet the life of my best friend on it
Practically speaking for anything that matters, though, homeopathy is basically completely useless. Ars Technica has (well many articles but this one specifically) an article which I'll be drawing on for my answer. It's 7 pages - and that's cause this is a complex topic, even for a pop science website and it basically points out flaws in methodology in homeopathy believers.
The idea behind homeopathy is you can dilute some substance with the same effect as the illness in water, to the point where it's undetectable, and that somehow helps the body heal itself.
So... you're basically giving your cat water. Which is fine, assuming the cat needs a drink. They claim it works cause water has memory. The water you drink has been through... well, dinosaurs, maybe Romans, Greeks. It might have floated through space as a comet. This wouldn't really work unless water has selective memory, or somehow the most recent thing done to it matters somehow. Of course, none of this is scientifically provable (the article I linked talks about bad science there).
I'd consider it pseudoscience, and it's unlikely to help outside making the owner feel like they're doing something.