Thanks for your query.
I have seen the image, the wound does not look infected. Need not worry, there is rich granulation tissue which is a sign of healing. Since its a 2nd degree burn it does take time to heal completely.
Continue dressing, use a better antibacterial cream like Mupirocin
. I would suggest you to be patient.
You can opt for plastic surgery
, I see its a good candidate for the same.
Wish you good health.