I want to know what Islam says about Christian women. Are Christian women permitted to marry Muslim men if the man is not religious?

Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.

It is permissible for a Muslim man to marry a woman of the People of the Book, i.e. Christian or Jew, provided she is chaste.

The evidence about this is the verse of Allah: {…and chaste women from those who were given the Scripture (Jews and Christians)…}[5:5].

The Islamic religion does not place requirements upon the choices who Christian women may marry only upon the choices of Muslims.

May Allah enable you to do good.

Allah knows best.