Sensitive skin does not mean do not need treatment, especially since you are prone to acne. You still need a skin cleanser that is not easy spotty, but certainly suitable for sensitive skin. you should come to a specialist in medical cosmetic, or skin specialists and medical-based beauty. The specialist can provide appropriate treatment for your case, and will provide cleaning and acne medications that are suitable for sensitive skin.
you might want to try is an natural acne cream that will help you achieve a clear complexion and healthy skin naturally. The cream contains tea tree oil & zinc, a natural antibacterial and anti-fungal solution derived from the leaves of the melaleuca tree, that will help against existing acne and prevent future breakouts.