Your elevated Thyroglobulin AB (TgAb) is the basis for a diagnosis of Hashimoto's Thyroiditis, which is an autoimmune thyroid disorder that destroys the thyroid, ultimately causing hypothyroidism. Your Free T4 is less than the recommended 50% of its range, which indicates that you may have some hypothyroidism. You weren't tested for Free T3, which is the thyroid hormone that correlates best with symptoms.
The high bilirubin indicates a possible liver problem, but your other liver function tests (ALT and AST) don't bear that out and you'd, most likely have some type of jaundice with a liver issue. Fasting causes bilirubin levels to increase. That's not to say, further investigation isn't warranted to be certain.
I'm unsure where they're getting the possible cancer diagnosis from, unless there are more test results, a biopsy or something we aren't seeing.
I also see no indication of Graves Disease.
Excerpt from the book "Differential Diagnosis by Laboratory Medicine: A Quick Reference for Physicians" edited by Vincent Marks, Dusan Mesko...
"Anti-Thyroglobulin Antibodies.
Thyroglobulin is quite a strong autoantigen. In healthy blood there are many B-lymphocytes with membrane-bounded IgM type thyroglobulin antibodies. IgG antibodies against thyroglobulin are Hashimoto's thyroiditis markers. The presence of autoantibodies to thyroglobulin can lead to the functional destruction of the thyroid gland.
Test Purpose. To detect and confirm autoimmune thyroiditis, Hashimoto's thyroiditis.
Increased Values - positive. anaemia (pernicious a., autoimmune hemolytic a.), rheumatoid arthritis, autoimmune disorders, granulomatosis, hyperthyroidism, hypothyroidism, systemic lupus erythematosus, Graves' disease, myasthenia gravis, idiopathic myxedema, myxedema coma, myxedema heart disease, thyroid tumours, syndrome - (Down sy, Sjogren's sy, Turner's sy), thyroiditis - (Hashimoto's t., de Quervain's subacute t.), thyrotoxicosis, rheumatoid - collagen disease, non-toxic nodular goiter
Interfering Factors: healthy people, medicaments - (amiodarone)."
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Labtest Online - Bilirubin...
"Increased total bilirubin that is mainly unconjugated (indirect) bilirubin may be a result of:
* Hemolytic or pernicious anemia
* Transfusion reaction
* Cirrhosis
* A relatively common inherited condition called Gilbert syndrome, due to low levels of the enzyme that produces conjugated bilirubin
If conjugated (direct) bilirubin is elevated more than unconjugated (indirect) bilirubin, there typically is a problem associated with decreased elimination of bilirubin by the liver cells. Some conditions that may cause this include:
* Viral hepatitis
* Drug reactions
* Alcoholic liver disease
Conjugated (direct) bilirubin is also elevated more than unconjugated (indirect) bilirubin when there is blockage of the bile ducts. This may occur, for example, with:
* Gallstones present in the bile ducts
* Tumors
* Scarring of the bile ducts
Rare inherited disorders that cause abnormal bilirubin metabolism such as Rotor, Dubin-Johnson, and Crigler-Najjar syndromes, may also cause increased levels of bilirubin."