I am quite familiar, from my personal experience, of the connection between brain and gut . . . .what I might suggest, other than dealing with the anxiety perhaps with a professional, is that I will eat extremely small meals . . . more often, but throughout the day . . . .I can go without eating until I am so tired I just go to bed but I know that is not healthy for a couple of reason . . .your body needs food and especially your brain . . . if you do not get enough nutrients, that can make the experience of anxiety more intensified . . . on those days when I just cannot manage food and those have become few and far between because eating many small meals suits me but if there is a particularly bad day, I drink Ensure and see it as a treat because I make a milkshake out of it . . . by adding the milk, there is added protein, calories, nutrients, etc. to the already dense Ensure .. . now, I would not recommend this as a diet because we need food to produce bulk, etc. to make our gut happy, but it does work for me.
As for the freezing, although it is more a gender issue for women, men can have thyroid issues . . . .through most of summer, I will often wear turtleneck sweaters because I am frequently freezing . . . the tradeoff is that I don't use my air condiitoning in the summer because I don't need to but I compensate in the Canadian winter because I need to have the heat turned up to create what my family calls the House Spa . . .
But, do try to start eating small meals and build up . . . to give you an example, a "big" meal for me is usually breakfast of an egg and a piece of toast around 7 a.m., then at 10 a.m., I will have some apple with peanut butter (I get the stuff that is just peanuts), then at 1 I will have a piece of steamed fish with some veggies; at 3:30 p.m. or so, I will have some cereal with milk; but by 7 p.m., I usually have toast and jam and a glass of milk . . . now, I will also have treats such as chocolate milk sometimes or frozen yogurt and if I am really in a hurry, I make what my brother calls cardboard cookies . . . very little sugar but psyllium fiber and nuts, etc. but always small . . oh, one of my favourites is homemade soup . . .real easy, just veggies and chunks of chicken . . . .for some reason, this seems more like drinking something than an actual meal . . . but you do need to retrain your GI tract to know that it can stop reacting to anxiety brain's signal . . . it can be a bit frustrating, but just small steps . .. hope this helped . . . kc