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I am sorry to hear of your problem. I am scheduled for minor facial surgery soon and was advised not to travel for three weeks, though the dressing comes off after two days. This may be over cautious but gives you some idea of what seems to be recommended even with no related injury. Your safest thing will be to get a "fit to fly" letter from a doctor but I wouldn't be hopeful of getting that quickly. I am also instructed not to lift more than eight pounds for a week and not to bend over in that time. If you don't have any other problems and the wound is inconspicuous then you might get away with it but be prepared for a longer trip. Good luck!

Also, if you end up delaying your flight do get in touch with the airline and ask for their indulgence in postponing the flight and preserving any further flights on the reservation. They aren't obliged to help since it is really an insurance matter but some are helpful.