If i have an elevated transglutaminase iga, hypothyroidism, and a mother with celiac disease. is the likelihood that i have celiac disease.?

Yes, but ...: While your database is highly suggestive of a person at risk for celiac disease, the diagnosis still hinges on a diagnostic small bowel biopsy. Once the diagnosis is secure, a gluten-free diet should then result in a drop in tissue transglutaminase titer.

Yes: I would consider an evaluation by a gastroenterologist to make a definitive diagnosis. Given your history of autoimmune disease, elevated ttg IgA and family history of celiac disease, the likelihood of you having celiac disease is very high.