On the First stage of the diet it is recommended not to eat carrots because it is a complex carb and it turns into sugar when we digest it. As you know sugar feeds candida, having said that, you have been on this diet for 5 weeks now. Have your symptoms disappeared completely? If they have, i would wait for a month to make sure that they are completely gone the start to reintroduce the complex carbs.
I dont know if sugar snaps falls under the category of complex carbs. Sorry about that one.
Dont forget how good you feel when you eat the right foods.
Eat well, feel good