Have you had both gourami for a year? If so, the male may just be coming into his prime. He may be too zealous about breeding and is giving her issues. I would isolate her for a few weeks, let her heal up and see if the present wounds heal up. If they don't return, it is likely the male or something else in the main tank. If they don't disappear or if more appear, you know it's something to do with her.
You can isolate her in a plastic tub. You don't have to have a tank for this. You'll need a spare heater, but if you do daily water changes, a filter isn't necessary.