Furious at their escape, Leontes now publicly accuses his wife of infidelity, and declares that the child she is bearing must be illegitimate. He throws her in prison, over the protests of his nobles, and sends two of his lords, Cleomenes and Dion, to the Oracle at Delphos for what he is sure will be confirmation of his suspicions. Meanwhile, the queen gives birth to a girl, and her loyal friend Paulina takes the baby to the king, in the hopes that the sight of the child will soften his heart. He grows angrier, however, and orders Paulina's husband, Lord Antigonus, to take the child and abandon it in a desolate place. Cleomenes and Dion return from Delphos with word from the Oracle and find Hermione publicly and humiliatingly put on trial before the king. She asserts her innocence, and asks for the word of the Oracle to be read before the court. The Oracle states categorically that Hermione and Polixenes are innocent, Camillo is an honest man, and that Leontes will have no heir until his lost daughter is found. Leontes shuns the news, refusing to believe it as the truth. As this news is revealed, word comes that Leontes' son, Mamillius, has died of a wasting sickness brought on by the accusations against his mother. At this, Hermione falls in a swoon, and is carried away by Paulina, who subsequently reports the queen's death to her heartbroken and repentant husband. Leontes vows to spend the rest of his days atoning for the loss of his son, his abandoned daughter, and his queen.

Can we conclude that does hermione die in the winter's tale?
yes