"And I say to you, whoever divorces his wife, except for sexual immorality, and marries another, commits adultery; and whoever marries her who is divorced commits adultery" (Matthew 19:9).
You gave up your right to marriage because of your adultery. Your only choices are to live as a single man or be reconciled to your former wife. It is unfortunate that you have not repented of your sins, since you claim that you "love" the woman with whom you committed adultery.
"I wrote to you in my epistle not to keep company with sexually immoral people. Yet I certainly did not mean with the sexually immoral people of this world, or with the covetous, or extortioners, or idolaters, since then you would need to go out of the world. But now I have written to you not to keep company with anyone named a brother, who is sexually immoral, or covetous, or an idolater, or a reviler, or a drunkard, or an extortioner -- not even to eat with such a person" (I Corinthians 5:9-11).