My post wasn't meant to offend you, and I am not offended by yours. What I was trying to say is that if you go into any diet, including Cambridge, and believe you are destined to fail then you probably will. I recently saw a saying "you can believe you will, or you can believe you won't, whichever you believe you will be right" (or something along those lines) and it is so true. If you believe you can follow the diet, you will follow the diet and if you follow the diet you will lose weight.
I am a health professional myself and very aware of the implications of hypothyroidism and metabolism, as a professional and on a personal level. Obviously natural thyroxine is different to synthetic thyroxine but it's as good of a replacement as you'll ever get in trying to synthetically correct it. It's the only option you or anyone else with hypothyroidism has.
Your metabolism may be slower, but everyone's metabolisms run at different rates regardless of thyroid function. So there will be plenty of people out there with a normally functioning thyroid whose metabolism is similar to yours, yet they have no particular reason for it, nothing to blame.
I suppose my post was meant to say that if you always believe your thyroid function will stop you from losing weight then it probably will, because it will affect your mental attitude to weight loss. If you try to forget (easier said than done) that you have hypothyroidism (at least from a weight loss point of view) and stick with the diet, your body will lose weight at the best rate it can with your metabolism, which is the same for everyone. I've seen people lose 50-60lb in 8 weeks and wondered why I can't lose as much. But there's no point me dwelling on it. I have to be happy with what my body can achieve, because I can't do anything other than try my best with what I am given.
Plus my post started with "As long as you're on the right dose of thyroxine and your TSH is in the normal range" and therefore the rest of my post was based on that assumption. Clearly yours isn't, which makes a lot of the rest of my post possibly irrelevant or inappropriate to you, but you still chose to take note of it and be offended by it.
I never wished to offend you and I truly wish you all the best with your weight loss journey. But I genuinely believe with any weight loss journey in any circumstances you have to start with a positive mindset and a healthy attitude. Please believe in yourself, you can do it!