almost all homoeopathic doctors in england work in private practice, after having trained and gathered patients while in nhs [national health service] allopathic practice.

however there are a few remaining homoeopathic hospitals - to my knowledge in glasgow, london, tunbridge wells, liverpool and maybe bristol.
doctors who work at those hospitals have to be trained in allopathic medicine to the uk standard [which means a lot of extra allopathic training for a doctor qualified in homoeopathic medicine in india - even though you want to practice homoeopathic medicine.] you might enquire via the faculty of homoeopathy in either london or glasgow about the requirements.

best of luck in your career.