Does the death of the Prophet, peace and blessings be upon him, due to poison contradict his saying to the woman: "Allah would not give you power over me"?

The Prophet Muhammad, may Allah's prayers and peace be upon him, passed away due to the poison administered to him by a Jewish woman in Khaybar, three years after he consumed it. He did not die immediately but lived and carried on with his life. Then, the effects of the poison intensified shortly before his death, so Allah might honor him with martyrdom. This is considered a miracle for him, may Allah's prayers and peace be upon him, because he was not affected by it at that time, while those who ate with him died.