Hi,
According to your X ray , there is straightening of spine which might be due to muscle spasm and reduction of disc space at L5-S1 which might be cause of Ur back pain.
Your physio is the ideal person to guide you whether u need bracing or not.
Concentrate more on strengthening exercises of back and weaning off lumbar support.
Next Steps
focus on exercises more
Health Tips
Listen to your physio he/ she is the best person to guide you.