The "Real Drs", misdiagnosed me for many years( 8 in all and some who were prominent neuros and researchers) so I don't think they know everything.
If it is harmless, as homeopathy is, and you have confidence in the practioner, why not give it a try?
Accupuncture used to be called "quackery" and now it is considered mainstream. Many ins co pay for it and if it was unproven, or considered experimental they would not.
I say have an open mind. Consider the possibility of other treatments to incorporate into your medical care.