Is it permissible for me to supplicate to Allah for guidance for a disbelieving woman with the intention of marrying her after she embraces Islam?

Allah commanded the Muslim to lower his gaze from what is forbidden, and the eye is the messenger of the heart. If its owner lets it wander among images, the heart becomes attached to them and suffers. The upright Sharia commanded lowering the gaze for the soul's comfort.

It is permissible to supplicate for the guidance of a disbeliever. Indeed, the Prophet, peace and blessings be upon him, supplicated for the guidance of the tribe of Daws, and he used to say to the Jews when they sneezed, "May Allah guide you and rectify your affairs."

The supplicant should have a good intention when supplicating for guidance, intending to please Allah and save the supplicated-for person from His punishment. There is no harm in intending to marry her.