Netty, your reading on the meter simply reflects your blood sugar at that particular moment in time, whereas HbA1c reflects your average BG over a few months. They won't have got it wrong; if you ate a mars bar now, you'd soon see your meter racing up towards the teens. You need to use your meter to test 2 hours after eating to see how you react to different foods. If it goes abov 7.8 at the 2 hour stage, cut out some of the carbs in that meal. You WILL get low readings and high, but regrettably you're still diabetic! Mind you, the 4.7 suggests you should be able to control it well with a sensible diet.
Good luck!