What was the breakdown of your cholesterol? HDL, LDL, and triglycerides? The total of 6.5 is just that, a total of the good and the bad. Unless you know how high your good bits are and how low your bad bits are, the total is meaningless .... and your doctor should know this. They are not supposed to determine that your cholesterol is high just by the total amount.
There are countless threads on here about cholesterol and statins if you use the search bar. One word of advice - they can and do raise blood sugar levels.