BHMS and MD (Hom), factually
BHMS is the basic medical qualification in homeopathy: four and a half years of study followed by a compulsory one-year internship. MD (Hom) is a three-year postgraduate course that a BHMS graduate takes in one subject, such as Materia Medica, Organon of Medicine, Repertory, Practice of Medicine, Paediatrics or Psychiatry.
Homeopathic education and practice in India are regulated by the National Commission for Homoeopathy, and every practising doctor must be registered with a state homoeopathy council. A degree tells you about training; it does not, on its own, tell you how well a particular doctor will handle your case.