Is there a difference between homeopathy and natural medicine?

Yes: Homeopathy is a specific form of natural medicine, based on the theory that a very tiny dose of a substance that causes symptoms in a healthy person can cure those same symptoms in a sick person. There are many other forms of "natural medicine, " but many people mistakenly use the term homeopathy to refer all natural medicine. See http://www.Homeopathic.Com/articles/introduction_to_homeopathy.

Yes: Homeopathic products use a very high to infinite dilution of what might have been an active agent so you are administering virtually water, pills containing only filler or bland creams. Natural medicine uses plant derivatives, some of which have effects on the body as they are in real concentrations. Few of these have had clinical testing however. Let your family doctor advise you.