To be eligible for the MD degree program at Hyderabad Karnataka Education Society's Homeopathic Medical College and Hospital in Gulbarga, candidates must have completed their BHMS degree from a recognized university. In addition, applicants must have completed a one-year internship and have a valid registration with the Central Council of Homeopathy. Candidates must also pass the entrance exam conducted by the college and meet the minimum qualifying marks criteria. Further details regarding eligibility criteria, including any specific subject requirements or additional certifications, can be obtained from the college's official website or admissions office.