No. If a woman gets her period during the day while fasting, she should continue fasting on that day and every other day during her period. Menstruation is not an excuse for not-fasting. But if she gets sick, she can break her fast and make it up on the other days after Ramadan. Sickness is an excuse for postponing the fasting duty according to 2:184 and 2:185. Nevertheless, it is advised to fast in Ramadan if the person can endure it.
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