May Allah forgive all our sins and guide us to the straight path. What you have been doing is one of the gravest sins in Islam, it is adultery which has been declared by Allah as a great evil. It also includes acceptance of an evil and abominable act to your family. Even if she accepts, you are still held accountable as being partner of this great sin.

First of all you have to repent your sin and invite her to repent this great sin. The conditions for repentance are well known:

1. Quitting sin;
2. Remorse over having committed the sin;
3. Resolve never to return to the sin.

You must purify yourselves by drawing closer to Allah and raising the level of your God-consciousness. You must increase prayers, fasting and giving charity.

As for her asking for divorce, she has full right especially you have not practice your duty of protecting and caring about your family. Allah says in the Qur’an, “O you who have believed, protect yourselves and your families from a Fire whose fuel is people and stones, over which are [appointed] angels, harsh and severe; they do not disobey Allah in what He commands them but do what they are commanded.”  (At-Tahrim 66:6)

By encouraging her to do so, you are getting her to the hell fire specially she is a new Muslim. She does not have to obey you or listen to you in doing any prohibited act.

For having an Islamic marriage, she has full right in order to guarantee her right of inheritance and also attributing children to you. But your marriage is still sound and correct as long as you concluded the contract according to Islamic law.

Almighty Allah knows best.