Yes, this is permissible. She can also recite the Arabic but without touching the Quran. This is done through reading it from a mobile, PDA or computer.

Can women read Quran tafseer while menstruating, I mean online without reading the Arabic?

Reading/Reciting the Quran | March 12, 2014 9:26 am
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I listen to the Quran while riding the bike. What if we come across Sujood attilawa ayaat? My brother is stating following hadeeth regarding Sujood attilawa ?
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Can we recite the 6 verses of sakeenah in the home everyday expecting for tranquility in the home? or should it be recited only at the time of depression? What is the correct instant for the verses of sakeenah to be recited?Should we make any dua after reciting it asking for sakeenah?