Thyroid problems, especially hypothyroidism can alter blood fats such as cholesterol and triglycerides. The published evidence is quite clear in documenting that the actual total cholesterol level itself is not the most important risk factor of cardiovascular disease.hyroid problems, especially hypothyroidism can alter blood fats such as cholesterol and triglycerides. The published evidence is quite clear in documenting that the actual total cholesterol level itself is not the most important risk factor of cardiovascular disease.