Can I fast the remaining days of the first ten days of Dhul-Hijjah due to menstruation?

If the question is about making up days missed due to menstruation, that is not legislated because it is a Sunnah whose time has passed. However, if the intention is to fast the days she catches up on after purification from menstruation, then this is legislated, and she will receive reward according to what she has fasted. The reward for her good intention due to the excuse will also be recorded for her. As for fasting while menstruating, it is not permissible by the consensus of Muslims.