Short answer: No single Jain text says “women should not go to temples during periods.” What you find in practice are local rules about ritual purity (ashaucha) for temple rites, not a universal doctrinal prohibition.

Key points you can rely on:

• Menstruation is treated as a temporary state of ritual impurity for certain temple activities, not a judgment on a woman’s spiritual worth. Many temple practices restrict specific actions (like touching idols or performing certain rites) during rajasvalā, while inner devotion and study continue in other ways. Different sanghs and temples may differ in detail. You should follow your local achar or temple guidance. ( jainknowledge.com)
• The restrictions are about ritual cleanliness for temple rituals, not about the person’s inherent spirituality. Activities like mental bhakti, svādhyāya, and bhāva-pūjā from outside the sanctum are commonly recommended during this period. ( jainknowledge.com)
• Digambar and Śvetāmbara traditions may differ in exact practice, but neither tradition has a universal, core rule that bans all temple entry for menstruating women. Always consult your local sangh’s guidance. ( jainknowledge.com)

If you’d like to read more on this topic in Jain Knowledge’s explanations, you can check:

• Why are menstruating women not allowed in temples.
• What is followed in periods in Jainism.