There in pregnant a possible subclinical hypothyroidism. You should consult with an endocrinologist, but the TSH being in a "alarm" (3.5-7.0), possibly require thyroxine
It is well knowen that normal level of TSH is from 0.4 to 3.5 mU/ml in tirth trimester . Thretment with levothyroxine is possible, if TPOAbs are postive.
No treatment is required. It is a case of subclinical hypothyroism. What will be the benifit to the fetus if thyroxine is given at 37th week of gestation. Only TPOAbs are to be screened.