Louisiana Trans Advocates is a support and advocacy organization for people who identify as transgender or are questioning their gender identity. They host monthly support groups in New Orleans, Baton Rouge, Shreveport, Lafayette, and Lake Charles. Please see their support group policies here.
Meetings of the local chapter of Parents and Friends of Lesbians and Gays (PFLAG) are also trans friendly. You can find their meeting schedule on their website.
BreakOUT Youth is a group for LGBT and questioning youth ages 13-24 who are directly impacted by the criminal justice system. They hold regular meetings every Wednesday, find out more on their website.
New Legacy Ministries is a group for transwomen of color to find social support and a spiritual home. You can contact them about meetings via their website.