Head covering in Jainism is not a universal scriptural rule. It is mainly a local custom (maryāda) observed in some Śvetāmbara communities and temples to show modesty and respect during worship, prayers, or darshan. It is generally encouraged for women in many communities, but not mandated for men by the canonical texts. The emphasis in Jain practice is on inner discipline, purity, and reverence, not on clothing alone.

Key points to know:

• Digambara vs Śvetāmbara: Digambara monks go naked as part of their monastic code, and lay practice differs by community. In general, head-covering is not a fixed rule across all Jain groups; many practices about dress are customary rather than scriptural. For women, head-covering is common in some Śvetāmbara settings but is not a universal requirement for all Jains. (Source discussions on head-covering as a Maryādā tradition.) ( jainknowledge.com)
• Practical note: If you attend a temple, follow the local sangh's dress guidelines. The core Jain aim is cleanliness, humility, and respectful conduct, not mandatory head coverings. (See local guidance and norms in practice.) ( jainknowledge.com)
• For sadhvi (nuns), dress is simple and modest in both Digambara and Śvetāmbara traditions, with specific codes for each tradition; head coverings or mouth coverings (muhapatti) may be used as part of their discipline, but this is distinct from lay head-covering customs. ( jainknowledge.com)

If you want a tradition-specific view (Śvetāmbara or Digambar) for your area or temple, I can describe the typical dress norms followed there.

You can read more here and here