RAW, looks like Song of Soothing (p. 299) acts like Herbalism (p. 277) which allows you to treat injuries (p. 491). For a light wound, it's Ob 2 and takes 15 minutes. Any successes above 2 you get will be added as advantage dice to Adom's Health roll to recover from the wound. Or you can spend any extra successes to reduce the time required by 10% each (p. 30).
Regarding Adom's wound, he must make a Health test to recover from the wound. Since it's a light wound, it doesn't have serious bleeding (I'm just having a bit of fun with the narrative on that). It requires an Ob 2 health test to deal with the pain. If he fails, he will feel the pain (and the mechanical -1D to most of his rolls) for (24 - Forte) hours. In his case, that would be 21 hours. He's got a B4 Health, so he has a decent chance of making the roll without help.
It's worth noting that if the wound had been more serious, we would have had to deal with the bleeding, and Adom could not make a recovery check on it until he had been successfully treated. Also, it's worth noting that even a midi wound (the next step up) would take 2-12 weeks to recover from.