I have had an eating disorder in the past and it definitely sounds like you have one. You DO NOT grow out of eating disorders, they are very complex and they need working through.
Unfortunately the nhs and most doctors know very little about them and don't know how to or have the resources to deal with them. I had a similar experience with my doctor, luckily my parents were brilliant and were able to go private to get the counselling that i needed.
I think it is brilliant that you are acknowledging that you might have a problem, you have half the battle won already. I think you need to go back to the doctor or see a new one for a second opinion and see if you can get a referral to someone more specialist in this area. Maybe try the nhs helpline as they may have more information.
I will also give you a link to the eating disorders association who should also be able to help you. It is really important to do this as soon as possible else the grip of the eating disorder will get stronger. I was in denial myself and it took my friends and family to make me see it. You dont have to feel like this anymore, you can ignore the problem but it doesnt go away it just gets worse. speaking as someone who has been there, i can promise you there really is a better life out there after an eating disorder.
I hope you can get the help that you deserve.
http://www.b-eat.co.uk/Home
NHS helpline - 0845 46 47