No TLHKAJ, the Bible does not explicitly state what the obligations are of an abused spouse.
But neither does it prohibit smoking, driving too fast, walking too close to the edge of a cliff, eating junk food, or wearing a seat belt.
God, in the beginning designed it that a man and woman will leave their parents, and become united into one. This is the entire objective of marriage.
If someone is being abused, they should get out of that situation IMMEDIATELY, into a safe place where the threat is gone, where they can at least make a decision, not under coercion or duress. It is a no brainer, AVOID THE CONFLICT AND ABUSE, at any cost, For clearly God does not honour the institution of marriage over the life or well-being, of a human created in his image, does he?
Genesis 9:5-6
9:5. "Surely I will require your lifeblood; from every beast I will require it. And from every man, from every man's brother I will require the life of man. 6. "Whoever sheds man's blood, By man his blood shall be shed, For in the image of God He made man.
Don't be too self-righteous by trying to avoid the perceived guilt of divorce. For battering a person does neither victim nor culprit any good at all, also the scars take years to heal and affects not just the two immediate parties.
Ecclesiastes 7:15-16
7:15. I have seen everything during my lifetime of futility; there is a righteous man who perishes in his righteousness and there is a wicked man who prolongs his life in his wickedness. 16. Do not be excessively righteous and do not be overly wise. Why should you ruin yourself?
Only if there is a wise enough person that can determine if the issue is resolvable, and that the abuse will stop, tell every battered person that you know to get out of that situation immediately, and then to ask questions later. What affects God more, a wedding ring or a corpse?
Ecclesiastes 9:4-4
9:4. For whoever is joined with all the living, there is hope; surely a live dog is better than a dead lion.