Very low levels of thyroid hormone usually indicate an autoimmune reaction to the thyroid gland itself. This means you’ll have to take thyroid hormone supplements orally, usually the stable form T4 (Levaxin), which your doctor can prescribe for you. Your body will transform this into the active T3 hormone when necessary. The supplement dose should be adjusted so that you reach normal hormone levels (TSH, T3, T4) and sufficiently alleviate symptoms – though a few people feel best when keeping TSH slightly below normal.
By restricting carbs to the degree that the keto diet recommends, you will stimulate the production of ketones and eventually enter nutritional ketosis. As a result, you will start burning more ketones for fuel. Ketones have also been found to help increase weight loss, lower glucose and insulin levels, decrease insulin resistance, and improve energy efficiency.  
When you eat foods high in carbohydrates and fat, your body naturally produces glucose. Carbohydrates are the easiest thing for the body to process, and therefore it will use them first – resulting in the excess fats to be stored immediately. In turn, this causes weight gain and health problems that are associated with high fat, high carbohydrate diets (NOT keto).
Cyclical keto diet: The Bulletproof Diet falls into this category. You eat high fat, low carb (less than 50 grams of net carbs a day) five to six days of the week. On day seven, you up your carb intake to roughly 150 grams, during what’s called a carb refeed day. Carb cycling this way helps you avoid the negative effects some people experience when they restrict carbs long term, like thyroid issues, fatigue and dry eyes. Learn more here about how carb cycling works.
On the ketogenic diet, carbohydrates are restricted and so cannot provide for all the metabolic needs of the body. Instead, fatty acids are used as the major source of fuel. These are used through fatty-acid oxidation in the cell's mitochondria (the energy-producing parts of the cell). Humans can convert some amino acids into glucose by a process called gluconeogenesis, but cannot do this by using fatty acids. Since amino acids are needed to make proteins, which are essential for growth and repair of body tissues, these cannot be used only to produce glucose. This could pose a problem for the brain, since it is normally fuelled solely by glucose, and most fatty acids do not cross the blood–brain barrier. However, the liver can use long-chain fatty acids to synthesise the three ketone bodies β-hydroxybutyrate, acetoacetate and acetone. These ketone bodies enter the brain and partially substitute for blood glucose as a source of energy.
I think what bothered me most about the article was the way in which the writer has put her own fears about living without cake onto the shoulders of any diabetic she might treat. In the same way an epileptic might choose a life without cake in order to remain seizure free I choose a life without cake to remain “undiabetic”. I must admit that when I was researching this diet I did worry that I would not have the stamina, but the thought of going blind is a useful motivator.
Sleep enough – for most people at least seven hours per night on average – and keep stress under control. Sleep deprivation and stress hormones raise blood sugar levels, slowing ketosis and weight loss a bit. Plus they might make it harder to stick to a keto diet, and resist temptations. So while handling sleep and stress will not get you into ketosis on it’s own, it’s still worth thinking about.