Homeopathy is not dangerous in any way (except where it might make people fail to seek proper treatment) and it "works" fine for mild conditions due to the placebo effect.
Suffice to say, i'm deeply skeptical of your story and would love to see the raw data (the actual name of the pill you were given and a chemical analysis to confirm it is homeopathic and not something active).
I hope this doesn't come across as insulting as I understand you truly believe the homeopathic remedy worked for you, but there's a reason we don't base medical decisions on single anecdotes and instead use proper double-blinded studies to determine what works and what doesn't.
The term "alternative medicine" is a bit of a catchall, but a lot of it is, like homeopathy, just plain quackery. Some people classify things like all dietary supplements and herbal remedies as part of "alternative medicine", despite such things having actual biological effects. Since it's such a catchall, you can't really make blanket statements about it.
It's clear for example that the rational use of dietary supplements is good for your health, and some herbal remedies are effective too, so if you class that as "alternative medicine" your statement would be right for at least that aspect of it.
Where it comes to the rest of "alternative medicine" though, we have a wide range of different practices, some of which are at least plausibly effective and some of which are downright insane and dangerous.
There is no insulting at all. It is always a pleasure to share ideas. And I agree that we don't base medical decisions on single anecdotes I honestly don't remember the pill, I asked my wife twice since you mentioned it. I am just sharing what I have witnessed all these years. We share ideas and I am not trying to convince anyone to follow the same path I did. The fact that I lost my trust on classic medicine doesn't mean that I contempt all classic medicine. That would be totally insane. In general, i believe that any type of medicine can become dangerous without a proper diagnosis of the problem.