I have high cholesterol, I have for at least 10 years, its always been about 7.8. Recently I have been seen at a lipids clinic in a large teaching hospital, and advised to lose weight. As I have had high cholesterol for years I have done the low fat thing, my dad died from heart disease at 55, so for forty years I have hardly eaten any fat. I am not and have never have been on statins.
  So I toddle off and have a look on here and start a LCHF diet, I have nothing to lose but weight and I am being monitored anyway. My next set of bloods were, 6.8, I even get a letter from the clinic with the results telling me to continue what I am doing, he didn't know I was on a LCHF diet.
  My last clinic I saw the proff, my results were a bit higher, a quiche week , my husband was cooking, but I have lost weight.
    Before your GP prescribes statins they should fill in a algorithm, which they put all your risk factors in, there are risks associated with statins and weighs it up against your risk factors. Even the head of the lipid clinic did this in front of me in clinic. If you are not sure if you should be on them have a look at, 
https://www.nice.org.uk/guidance/cg181
  The result of the clinic appointment I do not need statins. I did say I was a LCHF diet, he said nothing.
I think you have to find out why you have not been prescribed them, the chances are if they have filled in the algorithm you fell under the threshold. The GP should provide your results, you are not a child, to be honest, if they can not communicate with you like an adult I would change. They can not expect you to manage your health if they do not provide information and help you understand it.