While 5.80 is high for TSH, it's not horrible. TSH is a pituitary hormone, which can vary widely, even throughout a day, so, while it "indicates" that you are hypothyroid, it is not a good diagnostic.
Have you had the actual thyroid hormones, Free T3 and Free T4, tested? If so, please post the results, with reference ranges, for members to assess and comment on.