Getting divorced from your abuser will not affect your VAWA application. However, if you get married before your VAWA application is approved, USCIS will deny your VAWA application. Even if USCIS does not discover your new marriage until after USCIS approves your VAWA application, USCIS will revoke the approval of your application.
You can apply for a green card through VAWA even if you have not divorced from your abusive spouse. Often, the non-immigrant spouse cannot leave or divorce the abuser because of limited financial resources and threats to their safety from the abuser. USCIS does not penalize an abused spouse for remaining in the household with their abuser. When you submit your VAWA petition, you should write a personal statement that explains the abuse you suffered and why you have not divorced from your abusive spouse.
Yes. You can file a Form I-360 VAWA petition if the marriage was terminated within two years prior to the date you filed Form I-360. You must also demonstrate a connection between the termination of the marriage and the battery or extreme cruelty you suffered.
If you received your green card through marriage but your relationship is not going well or you have already divorced, it may still be possible to maintain your lawful permanent residency. There are several possible considerations in this regard.
The fact that you have divorced your petitioning spouse will definitely make your green card application more difficult, but not impossible. You will need to provide as much evidence as possible to prove you had a bona fide marital relationship with your ex-spouse.
If you obtained your green card through marriage and you are not a citizen, you must wait five years from the date of the issuance of your green card to apply for your spouse, unless certain exceptions apply.