Wa-la tarfaʿu sawtaha bi-l-talbiya means that a woman does not raise her voice in talbiyah as men do.
It does not tell her to omit the talbiyah. The difference lies in the manner and volume, not the existence of the recitation. Distinguish a prohibition on loudness from a prohibition on the rite itself.
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Book of Hajj: Omitted Arrival Tawaf, Arafat Standing and Women’s Rites
Wa-la tarfaʿu sawtaha bi-l-talbiya means that a woman does not raise her voice in talbiyah as men do.
It does not tell her to omit the talbiyah. The difference lies in the manner and volume, not the existence of the recitation. Distinguish a prohibition on loudness from a prohibition on the rite itself.