Women have an important role in any society, so Islam considers them half of a society. The Prophet (peace and blessings be upon him) said, “Women are the twin halves of men.” (Abu Dawud).
Therefore, attending Islamic lessons in a mosque is recommended so that they can learn the prescribed knowledge that all Muslims need to know. However, this permissibility is conditioned by some rules. She has to be sure that there is no risk of temptation; moreover, she must avoid mixing with men in the mosque, abstain from wearing perfume, and she must wear her hijab.
Concerning this, Sheikh Saleh ibn Fawzan Al-Fawzan, stated the following:
Yes, it is permissible for women to go to the mosque and attend Islamic study lessons, as long as they are covered and are seated behind the men as the Prophet (peace and blessings be upon him) said:
“Keep them towards the back as Allah has kept them towards the back” (‘Abdur-Razzaq)
He also said:
“The best of the rows for the men are the front rows and the worst of them are the last ones, and the best of the rows for the women are the last ones and the worst of them are the first ones.” (Muslim)