This might be helpful for some people. Got the information below from the USCIS website. For people who qualify visas like T and U, VAWA and so on. Based on what I have understood, T visa is for trafficking, for example if your employer doesn't pay you for the all hours you have worked for or the employer abuses you, threatens you in any way including work status/permit, and other trafficking issues and there is so much more. I am NOT a lawyer, please talk to your lawyer. Good luck!

"You may ask the ICE Office of the Principal Legal Advisor (see Prosecutorial Discretion and the ICE Office of the Principal Legal Advisor) to consider joining in a Joint Motion to Reopen proceeding to terminate your order of removal or order of deportation, if you are a TPS recipient with a removal or deportation order who traveled and returned with government authorization while in TPS, and:
You intend to apply or have filed an application for adjustment of status with USCIS; or
USCIS already denied your application to adjust status solely because:
We do not have jurisdiction over your application because of your removal or deportation order; or
We do not have jurisdiction over your application because of your removal or deportation order and you have waivable grounds of inadmissibility, but a waiver was not filed or adjudicated."
Link is below:
https://www.uscis.gov/laws-and-policy/other-resources/class-action-settlement-notices-and-agreements/certain-temporary-protected-status-tps-recipients-with-orders-of-removal-or-deportation-seeking