I really like my OBGYN, Kathryn Wild, who is in the Lakeside Women's Clinic ###-###-####) and has hospital privileges at East Jefferson and Lakeside (Tulane-Lakeside) hospitals. Dr. Wild took the extra time to answer questions (and I had a lot of them while pregnant) and she was open about working with us for the type birth experience we wanted when our daughter was born. There are several other doctors in that group and they are all female. Dr. Robin Bone in that group is also quite experienced but still young.
Several friends say that Dr. Perrett who is a female doctor near Touro is fabulous but I haven't met her.