If pueraria mirifica is safe to take if you have(hypothyroidism )?

Yes: It's a phytoestrogen. I am going to assume your hypothyroidism is under treatment.

Not relevant: If you have a thyroid issue you will benefit from professional attention to it. But that has no bearing on the use of estrogen from any source. You neglected to reveal the reason for this experiment. If you think you might benefit from estrogen you are foolish to do it without professional supervision. Also this herbal estrogen is less safe and less reliable than prescription estrogen.