That's a pretty gnarly wound, but also a healthy looking fish so... could be a wash? If the fish is eating and not scratching on things or otherwise acting oddly, I would likely leave it in the DT for a while longer, myself. The stress of catching it could make the problem worse more than any QT-based anti-bacterial treatment could help.
If you really wanted to try to get the fish some meds, you could try soaking food in a combo of Furan-2 + Seachem Kanaplex + Metroplex + Focus. This will deliver a pretty potent anti-biotic treatment yet is usually reef-safe. Make sure to increase oxygen to the tank (use extra fans, turn up the skimmer, etc.) as these meds can reduce oxygen levels in the water even bound to food with Focus. Treating with this path would - again - only be something I'd do myself if the fish were showing signs of needing help overcoming an infection.