What's the reference range for the Free T4? Ranges vary from lab to lab and have to come from your own report.
Also, was there a Free T3 ordered? Free T3 is the hormone that's used by individual cells in the body.
TSH of 9.45 is higher than normal and indicates hypothyroidism, but depending on the range for the Free T4 and whether there's a Free T3, that might not be the case.
Why did you have your thyroid removed?