Hi Miss Bieber,
Tbh, it doesn't sound like you have an eating disorder, but is does sound like you have an anxiety disorder related to food.
There's a bit of a difference between what you have said & what a person with an eating disorder would say; anorexia & bulimia are usually characteristics of other problems, such as body dismorphic disorder. However, what you have said is that you don't like food & you are scared to throw up again- this directly relates how you're feeling to the issue of the food itself, rather than how you feel about the way you look or how other people percieve you & your food habits.
Look at the reasons why you don't like eating. Have you suffered with a virus, food poisoning or stomach bug recently? Have you been in a situation where you had your food restricted (eg; in hospital, boarding school, etc)? Could you be pregnant?
Some people feel sick if they don't eat properly or are allergic to certain types of food- keeping a food diary could show you what kinds of foods don't agree with you.
I'm interested in your statement that you don't like food- do you cook for yourself? If you do, perhaps using food as a creative outlet would improve your 'friendship' with food.
I definitely think you have an anxiety issue with food & visiting your doctor might shed some light on this. Plus, he/she would be able to advise you of some healthy, gradual diets. Starving your body of essential nutrients can cause a shed-load of problems. If you don't fancy big meals, little & often is healthier anyway.
While you are on your journey to health, remember to keep drinking water. Our bodies can survive (not thrive!) without food for a good few days, but water & fluids are absolutely vital.
Drop back & let us know how you are, but get & see your doctor. There are also medical conditions that cause a loss of appertite & repulsion of food, so it's best to get those checked out.