Months? Why will it take months? It's a health issue, it's important. If you can't afford a therapist, or don't want your parents to find out, there are plenty therapists online you can talk to.
Nobody will force you to do anything, they will just offer help and if you're not ready you can deny it.
There is no force-feeding in ed treatment, except in severe anorexia cases where the patient's life is at immediate risk.
Typically in bulimia, a nutritionist offers a diet plan to lose excess fat caused by binges and the therapist helps you figure out why this disorder presented itself so that you can sort things out.
And believe me, you wouldn't love to be anorexic. I've been there; it is worse than one can possibly imagine. Anorexia is not about looking skinny. It's not about the skinny topmodels you see on Fashion TV and magazines.
It's about being terrified of food, losing your hair, having a BMI of 14 and thinking you're way too fat and crying yourself to sleep because a desperate friend forced you to eat ONE cookie. Constantly being haunted by calories, fat, carb grams, you're never restricting enough, you're never thin enough, you're never pretty enough, you're never good enough. You are just worthless in your eyes. It's non-stop agony.
I understand your desire to be skinny, but sadly there are no magic tricks to that. You can be skinny the healthy way, with the right diet and exercise; and you CAN do it, you are just scared to give it time. I understand, I really do. Have you actually tried one of those 'normal diets' for more than a week? If you don't stick with it you won't see results. You say you want to lose the weight faster? Have you seen faster results with binging and restricting?
I'm sorry I'm harsh to you, I'm only doing it for you to see that this is important; it's about your mental health.

Seeing a therapist is the best you can do.
I wish you all the best, keep us posted. xxx