What type of diet is best for me?

The eat less/ do more diet works for most people very well. Set a realistic budget using this program and stick to it. Eat what you want/like as long as you stay in budget. No need to make big production of what you do or don't like and what your social skills are. It's really very simple.

That one diet that you count calories on... I forgot what it's called....

A large, 50-gram hard-boiled egg contains 62 milligrams of sodium. This amount supplies 2.6 percent of a healthy adult man's or woman's recommended daily allowance of sodium, and 4.1 percent of the sodium allowed for an individual on a 1,500-milligram sodium-restricted diet. According to the National Labeling and Education Act, eggs can be considered a low-sodium food because they contain fewer than 140 milligrams of sodium in every serving.

Regarding cholesterol, your body makes cholesterol. Eating foods with cholesterol doesn't raise cholesterol levels in your body (unless you have diabetes or a specific rare genetic disorder)

I agree with others here that you need to check with a doctor/dietician for your particular issues. That being said, I think you've got plenty to work with. It seems like you do not like to eat much at any one sitting, so several small meals per day might suit you better. If you have had good results with gluten free, then there is no reason you need to make yourself eat gluten. Most dieticians say that 1-2 eggs per day are fine for most people. You should start with what you like. So for example, if you like green beans, try some steamed add some nuts that you like, some of your battered fish and a little bit of olive oil and lemon. You can throw in a 1/2 of a boiled egg chopped up....just measure/weigh in order to stay in your calorie goals for the day.

People are giving you good advice....and you are full of excuses and defensive.

I can't say what diet is best for you, and I don't know what kind of dietary restrictions if any come with your thyroid condition, but I'll try to address some of your specific questions. (On the "best diet" question, I will say this: You already have so many things to work around, what with not wanting to eat gluten, not being able to tolerate much meat or fruit at one time, not liking most vegetables, and a desire to restrict cholesterol, that I don't know why you want to add some other condition or restriction like low fat or low carb -- you need to find stuff you can eat, not eliminate more stuff just for the sake of being on some kind of diet.)

If you're really worried about cholesterol, you might want to trade out that cream in your coffee for a lower fat dairy or nondairy (by which I mean something like almond or soy milk, not those yucky combinations of vegetable oil and corn syrup that they sell as nondairy "creamers"). At least the eggs are giving you a fair amount of protein with your cholesterol; the cream isn't offering you much nutritionally with the cholesterol. You also get cholesterol in your meat/poultry/fish, but at least you're getting protein as part of the deal. I'm not telling you to worry about cholesterol, because the evidence seems to indicate that dietary cholesterol is not a big factor in determining blood cholesterol levels. But if you are going to worry about cholesterol, you should be aware that pretty much all animal products except fat-free dairy and egg whites are going to come with some cholesterol.

If you're worried about having two eggs a day, you could consider one egg and one or two egg whites. Since you apparently can tolerate eggs well, egg white would be a good protein source for you.

It sounds like you want to go gluten free. For people who don't have medical issues that require being GF, it seems like making life and eating more complicated than they have to be, but if you really think the complexion improvements were connected to being GF, and it's important enough to you to deal with the complications of finding GF foods at home, when eating out, when eating at someone else's home, etc., go for it. Or maybe you could see if just reducing the amount of gluten you consume would be enough to get the results you want.

If eating more than a certain amount of meat or a certain amount of food makes you feel sick, don't eat more than what you can tolerate.

I'm not entirely sure what constitutes "meaty fish" as opposed to nonmeaty fish, and I get the impression that you're concerned about eating it fried. Have you tried broiling/baking it and then dressing it with a little olive oil and lemon juice?

If you like avocado and nuts, eat them. It seems like there's awfully little you can tolerate, and you need to get calories from somewhere. Sure, they're both high fat, but they're "healthy" (unsaturated fats), and they've got fiber, and micronutrients, and a little protein.

When you say you can't find a salad dressing you like, have you tried making your own? Just whisk a little oil and vinegar together (I like extra virgin olive oil and white balsamic vinegar best, but you can experiment with nut oils, different vinegars, or citrus juice), a little mustard (I like dijon, but use what you like) to emulsify, a little salt, and whatever spices and herbs you want. You could even mash up a little avocado and whisk it in.

You say you're uncomfortably hungry all the time, and that all you have during the day is a salad. You need something more than that. Add a small amount of cubed poultry, meat, or fish (within the amounts you can tolerate), or some avocado, or nuts.

You say green beans are the only vegetable you like. There are a lot of vegetables out there. Maybe you need to try some different ones. If you can eat green beans, maybe you can eat fresh shelled beans (e.g., limas) or dried/canned beans (e.g., black, kidney, pinto, garbanzos). Asparagus, carrots, tomatoes, squash, eggplant, cabbage, broccoli, cauliflower, onions, potatoes, sweet potatoes, brussels sprouts, turnips, beets (yum!). Have you tried them all?

I think it's good that you plan to see a dietician or nutritionist when you get back from college, and that you're going to look for another doctor to get a second opinion since your current doctor doesn't seem concerned about what seem like an awful lot of food tolerance issues. I guess that second opinion does need to be from an endocrinologist, given your thyroid problems, but maybe you could ask for a referral to a different specialist (a gastroenterologist maybe) to see if you have some other medical issue that is causing you to feel ill from so many foods. (If I'm misinterpreting food preferences for actual physical reactions, you can ignore that, but my reading of your original post is that you're saying that the meat, fruit, and grain issues at a minimum are not simply preferences but actual physical responses.)