While everyones experience will vary depending on their condition, generally it is best to maintain a low glycemic diet for some time in order to eliminate candida overgrowth. A small amount of cut carrots in a salad is usually ok, but juicing carrots will concentrate the simple sugars more. There again, if carrot is only a small part of the juice it may be ok, but the safest thing, especially for stubborn candida is green juice, using a base of celery and cucumber... and lots of teas of Pau D'arco, Black Walnut, Cat's claw, chapparel etc, and oregano essential oil. Also lots of probiotics.
Something like the Dr Shulze colon cleanse, including the intestinal #2 is also very good because the clays draw heavy metal out of the walls of the digestive tract, helping to restore a healthy intestinal flora. Candida flourish in an environment of heavy metal toxicity, while healthy bacteria do not.