Not all people with Rosacea come with acne. Sometimes spots are a big part of the problem and sometimes it is flushing, redness (erythema), swelling and red thread veins (telangiectasia) that are the main worry. Conventional treatment is with long-term antibiotics, which can be helpful for the acne, but in my experience not for the redness, and these can also potentially cause health issues of their own.
What is the alternative to antibiotics?
Rosacea actually responds very well to a natural approach. Depending on how severe the problem is, a combination of herbal medicine, acupuncture, diet and natural creams will be effective for most people. Additionally, once the problem has been successfully treated, it should not be necessary to take the herbs forever. If stress is clearly a trigger, then Mindfulness meditation and other stress management techniques will be helpful as well.