How can a woman purify her intention for Allah the Almighty when memorizing the Quran and seeking Islamic knowledge?

For a deed to be accepted, the intention must be sincerely for Allah, and the deed must conform to the Sunnah (definition) of the Messenger of Allah, peace and blessings be upon him, as stated in His Almighty saying: "So whoever hopes for the meeting with his Lord, let him do righteous work and not associate anyone with the worship of his Lord." (18:110). A person's belief that benefit and harm are in the hand of Allah alone helps in achieving sincerity. If sincerity is achieved, then there is no harm in striving to seek lawful sustenance in worldly matters, utilizing knowledge and expertise.