Sheikh `Atiyyah Saqr, former head of Al-Azhar Fatwa committee states that: “It is makruh (reprehensible) for women to raise their voices while uttering adhan(the call to prayer) if there is a non-Mahram man who can hear the woman’s voice. Hence, there is nothing wrong with women saying both adhan and iqamah (second call to prayer) as long as this is done between women.
In his famous book, Al-Mughni, Ibn Qudamah, stated that there is a consensus among jurists that women are not obliged to recite either adhan or iqamah. Which means that they can perform prayer without saying adhan or iqamah.
However, Imam Ahmad Ibn Hanbal sees nothing wrong in women saying both adhan or iqamah, stating as evidence the case of `A’ishah (may Allah be pleased with her) who used to recite both adhan and iqamah. (Reported by Al-Bayhaqi)”