All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
This woman is obliged to repent to Allah from this abominable act, which is an immorality and evil as a way, as described by Allah in His Book.
This daughter should be traced back to her, according to the view of the majority of the jurists, and may not be attributed to the adulterer or someone else. However, some jurists are of the view that if the adulterer traces this daughter back to him, then she can be traced back to him. The view that we adopt here in Islamweb however is the view of the majority of the jurists.
The presence (or consent) of the guardian is a condition for the validity of the marriage, according to the view of the majority of the scholars, which is the view we consider to be the preponderant one. It is not valid that this woman marries herself off by her own self. However, Imam Abu Haneefah held the view that such a marriage is valid.
In order to be on the safe side, it is better to renew the contract with the permission of her guardian, or whoever her guardian entrusts to this effect. This is of course, if she has a Muslim guardian. If she does not have a Muslim guardian, then she appoints a righteous Muslim man (to marry her off).
Ibn Qudaamah said: "If a Muslim woman does not have a Muslim guardian or a Muslim ruler, then one of the narrations from Ahmad indicates that a trustworthy Muslim man marries her off with her permission."
Allah knows best.