If the lady treats Islam as just another religion then she can marry whomsoever she likes.
If she believes Islam is a way of life ordained by Allah for our benefit then she cannot possibly consider marrying someone who does not believe in this.
2:221 (Establishment of an ideal social system begins with the family. For a successful family life, uniformity of purpose is crucial.)
Therefore, DO NOT WED MUSHRIKAS TILL THEY ACKNOWLEDGE THE TRUTH. A believing maid of God is better than a Mushrikah even though she may seem attractive to you. And do not establish marital bonds with Mushriks till they acknowledge the truth. A believing servant of God is better than a Mushrik even though he may enchant you. They invite to the fire, while God invites to Paradise and a well-preserved life by His Leave. He expounds His messages for mankind to ponder and take them to heart.
[Mushrik = Idol worshiper or idolater = One who ascribes partners to God = Who ascribes divinity besides Him = Who associates others with Him = Who invents or acknowledges authorities parallel to Him = Sets up idols in any form = Who side-lines Divine revelation in favor of manmade books or themes = Who worships his desires = Hero worshiper = A sectarian = Whoever hopes for any dead humans or saints to help him = Ancestor worshiper = Who ascribes children to God = A believer in intercession by angels or humans = Who seeks Divine Guidance outside the Final revelation = A subscriber or claimant to mysticism or clairvoyance = Who believes in created beings having Divine Powers = Accepts ultimate law-givers other than God = Prostrates before tyrants or “holy” men. Mushrikah = A Mushrik woman. Shirk 17:111, 25:2, 18:26, 40:12, 18:38, 18:42, 18:110, 24:55, 10:18, 30:31-32, 10:66, 6:14, 6:40-41, 9:31]
If it is physical attraction that is guiding her actions then this is a recipe for disaster since this will soon turn to familiarity and then what is left?
She has a choice between creating the following:-
33:35 Surely, for Muslim men and Muslim women, believing men and believing women, devoted men and devoted women, truthful men and truthful women, steadfast men and steadfast women, humble men and humble women, charitable men and charitable women, abstinent men and abstinent women (abstaining from all vices), chaste men and chaste women, men who remain mindful of God and women who remain mindful (of God), for them, God has readied forgiveness and an immense reward. [3:194, 4:124. Maghfirah = Forgiveness = Protection against detriment = Erasing the imprints of faults = Absolving imperfections]
Or participating in this:-
24:3 The adulterer couples with none but an adulteress who worships her desires. And with the adulteress none couples but the adulterer who worships his desires. It is forbidden to the believers. [24:26, 45:23]
[Fornication and adultery are a form of idol worship for, such people submit to their desires. The word AW here is explanatory. AW = Or + That is + Namely + Call it + In other words. AW appears in this format instead of 'or' in many places in the Qur‟an such as 23:6, 24:3, 25:62. Nikah, in the lexicon, applies to genuine wedlock as well as to sexual relations between a man and a woman outside wedlock, depending on the context. The very common rendering of this verse to the effect that an adulterer is allowed to marry only an adulteress or idolatress, and vice versa, is absolutely erroneous and contrary to the Big Picture of the Qur‟an which lays great emphasis on reform and forgiveness. And it defies all sense. Whereas many translators have maintained that such men and women will end up marrying their like. This is obviously the result of not bearing in mind the meaning of AW and Nikah, and going against common sense. Finally, the Book of God does not downgrade people once they have repented or received penalty.]