It's traditionally believed that some hymns of Vedas have been authored by women. How does one reconcile this with the fact that women are not allowed to recite vedas? (Are those author women considered to be exception?)
From Harita Dharma sutra 21,23
Women belong to two classes. Brahmavadinis and Sadyovadhus. Among these two, there is ordained for Brahmavadinis the sacrament of investiture with sacred thread, the fire sacrifice, the study of the Vcdas in her own house and to beg alms. For Sadyovadhus, the rule is that when their marriageable time approaches, the mere formality of investiture with sacred thread should be done, and then they should be married away.