Praise be to Allah.
I do not know of any basis for that. They may recite Quran and remember Allah, may He be glorified and exalted, even if they are bare-headed, if there is no non-mahram man present with them. That does not prevent the angels from coming in. And Allah is the source of strength. End quote.
Majmoo‘ Fatawa Ibn Baz (24/85).
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