I hate to say it but so much nonsense in one post it really boggles the mind.

First, I'm going to assume you asked permission to post a picture of one of your patients on Steemit.

Second, case studies are mostly useless even when they're properly done (yours is not). It's a mistake to generalize from a case study and absolutely shameful and irresponsible to promote it to the public in this way. This is one of the ways we know that homeopathy is bogus. Once we transition from case studies to more serious lines of inquiry like meta-analyses, it transforms from homeopathy to medicine.

Third, she was given amoxicillin for lyme disease. I'm going to assume you know how dangerous lyme disease is. I'll also assume that if your daughter got lyme disease you would treat her with modern medicine instead of homeopathy. If not, please expand.

Fourth, you assert her asthma started secondary to the antibiotic yet do not provide any evidence to support this proposition. You should.

Fifth, in the last paragraph of this drivel you mention the placebo effect. The effect sizes of placebos are actually quite considerable. Being in homeopathy I'll also assume you know this. I'll propose another alternative hypothesis. Nothing. You did nothing, the arsenicum album contributed nothing and she became better because of something else like her other medications, the doctors taking care of her, etc.

Happy New Year!