Is it permissible for a Muslim woman to love and wish for a Christian man to embrace Islam so that she may marry him?

There is no harm in wishing for a non-Muslim person to embrace Islam and marrying them, and supplicating for that. If that does not happen, then entrust your affair to Allah and ask Him for a righteous husband and good offspring. Beware of romantic relationships before marriage, as they are a gateway to evil and temptation, and Allah has forbidden them. Allah Almighty said: "But perhaps you hate a thing and it is good for you; and perhaps you love a thing and it is bad for you. And Allah knows, while you know not."