Is a praying woman of good character who listens to music considered among those religious women whom the Prophet (peace and blessings be upon him) advised to seek out?

It is mentioned in the Hadith that a woman is married for four reasons: her wealth, her lineage, her beauty, and her religion. The Prophet, peace and blessings be upon him, advised marrying the religious woman. And a religious woman is the righteous, devout, chaste, God-fearing one.

Listening to songs contradicts religiosity and piety. If a woman insists on listening to them, knowing their impermissibility, then she is a disobedient sinner (fasiqah) and is not considered among those of religion. If she listened and then repented, that does not contradict piety. If she listened without knowledge of the prohibition, then she must be educated. If she then insists, she falls under the ruling of the first possibility.