Your refractive error is possible to correct as long as you are not disqualified from the surgery during the preliminary examination. Hypothyroidism is not a definite contraindication to laser vision correction. However, in order to be qualified for the surgery it is necessary to provide a medical certificate from an endocrinologist attesting to the degree of the disease, stabilisation of hormone levels and lack of contraindications to the laser vision correction surgery. If you have not been diagnosed with glaucoma or other eye diseases which would rule out laser vision correction, the family history of glaucoma will only be of informative nature to the qualifying doctor.