No such thing as a stupid question here! A private prescription would be issued by a private doctor. So in this case, you would be going to a private menopause specialist. Private specialists can write to your NHS GP with their recommendations as to what medication you should have, and your GP can then issue NHS prescriptions (always assuming they are willing to go along with the advice). Unfortunately Androfeme is not available on the NHS (yet), but you could get one of the gels.
JP x