@Grace04
Fat is perfectly good for you - both carbs and fats are normal sources of fuel for energy. So if you cut down on carbs, which you need to do to improve your glucose levels, you'll generally need to replace them with more fat, which has the added benefits that it has no effect on glucose levels, and as it's a slower release form of fuel, you should hopefully end up less hungry and may probably feel less need for frequent eating.
And don't be too hard on yourself over your HbA1c results - some people may manage to maintain "perfect" figures, but if you vary slightly either way at the bottom end of pre-diabetic,, IMO that's still being well under control! But be aware too that it's not only what we eat that can affect glucose levels, things like health, stress, exercise, some medications, etc , can also cause some variations - and we may not have much control over these.