I'm sorry but that advice sounds absolutely insane.
Firstly, this person was told that their cholesterol was 'way too high'. There is not a single reading in this person's portfolio that exceeds ANY target whatsoever. Granted, yes, LDL and total cholesterol are at the top end of the target but they are still on target. And why is there a recommendation that HDL should be UNDER 1.4? The higher your HDL, the LESS likely you are to have cardiovascular problems! I know the American Heart Association says HDL levels over 1.55 are optimal for preventing CVD - how on earth can NICE get this so wrong?
I find it absolutely astonishing that this would be grounds to recommend a prescription drug rather than suggest minor lifestyle changes although again I'd query whether these are even necessary. It is known that heart disease risk is influenced by the total Cholesterol:HDL ratio, with anything under 3.5:1 being 'optimal' protection. The OP has a ratio of 2.5:1!
Waist circumference is only relevant if it is associated with being overweight. The OP has already stated they are not overweight which means waist circumference is far less relevant to statin prescriptions - particularly as (and I really can't make this clear enough), the OP's full cholesterol readings comply perfectly with overall NHS recommendations for someone with Type 2 diabetes.
I know I'm not a doctor but I really cannot see the point in adding a statin at this stage, particularly given statins have an association with muscle wastage, liver problems and neuropathy. Granted, these side effects may be rare but based on the NHS's own guidelines there seems very little reason to prescribe a statin given the OP already appears to have good cholesterol health and is not overweight.
To put it in perspective, this sounds like the equivalent of putting someone not suspected to have diabetes with an FBG of 5.0 on multiple daily injections, because the numbers say they're at the top end of the fasting range. If the nurse was really that concerned, couldn't she in the first instance recommend lifestyle changes to see if that makes a difference, rather than just blithely giving out statins because Pfizer pay a lot to ensure diabetes advocacy groups recommend them?