I've been listening to some interesting podcasts recently, which have touched on the effects of intermittent fasting on women. There are marked differences between men and women when it comes to fasting. Levels of Ghrelin (the hunger hormone) tend to be much higher in women than in men, and the higher Ghrelin is, the lower thyroid hormones tend to be.
Supposedly the issue is there regardless of whether you observe full fasting, intermittent fasting (although probably less so), or just a very low calorie diet.
I dug out this article:
ncbi.nlm.nih.gov/pubmed/234...
If I've read it right, it showed that women who follow a 1200 calorie a day diet will typically see their T3 levels drop by 40%, while those who were on a 400 calorie/day diet saw T3 levels drop by 66%!
When we first go to the doctor complaining of unexpected weight gain, the advice to "eat less" will make the thyroid worse. Additionally, if you restrict calories to limit thyroid related weight gain, then you may also compound your problems. It seems like a lose/lose situation