I understand your fear. Almost everyone in my family died of stroke, heart attack or complications from diabetes.
I also understand your fear of eating fat and natural foods---I was a low fat vegetarian for many years and never lost a pound, but managed to gain 40-50 pounds on that "healthy diet."
You should never be afraid of unrefined, minimally processed, whole foods like meat, natural fats and oils, and other whole foods. You should be more afraid of the artificial "foods", like the artificial sweeteners, the synthetic fats, and even protein powders which are typically highly processed.
On Atkins, you only eat the amount of food you need to eat. If 8 ounces of beef satisfies your hunger, then that's what you eat. If 1 hard-boiled egg satisfies your hugner, than that's what you eat.
Dr. Atkins wrote that counting calories was not important on his diet. That's because ketosis/lypolysis is a natural appetite suppressant and he wanted us to use that to relearn our natural hunger cues. Did you know that newborn babies will only drink the amount of formula or milk they need for their energy requirements? Some of us lose that ability to only eat what we need to eat because the well-meaning adults in our lives taught us to eat more than what we need.
I NEVER counted calories during my Atkins. I thought counting carbs was a hassle and counting carbs AND calories would have put me off this diet. Instead, I followed my hunger and relearned those natural cues. I found that somedays I ate more than others (particularly if I was more active.)
So give these 2 weeks your best effort. Don't cheat on the diet, because you are only cheating yourself.
PS: peanut butter isn't allowed during Induction.