Can Radiesse Cause Allergy to my Face?

Because it's been months later after having your injectables, it's likely unrelated. If it were an allergic reaction, this would have occurred immediately.

It would be very unlikely to develop an allergic reaction to a filler several months after the injection. Radiesse is made of of calcium particles which generally do not cause an allergic reaction in most individuals. My guess would be that they are unrelated. 

I agree, an immediate reaction would be more likely if it were an allergic response. After one it is likely due to other factors, acne, chemical dermatitis. It sounds like your dermatologist is treating it successfully. Otherwise seek another opinion.

From your description, it sounds like you have acne. It is highly unlikely that spots all over your face months after your Radiesse injections would be caused by the Radiesse. The typical side effects associated with Radiesse injections include bruising, redness, swelling and pain. These occur in as high as 90% of patients and usually resolve within one week.