Why isn't this card like Bandages? For example: After an investigator at your location takes 1 or more damage or horror, exhaust Sound Support: Heal 1 of that damage or horror?
It would make more sense being a Talent, the name of the card, and the artwork. You're not stepping in front of bad thing and taking it yourself. You're consoling them after they suffered a bad thing, so why is the card not an after trigger?
However, since it's not I'm about to rant a bit because I actually think this card is good for non-Medics for the same reason it isn't good in Medics like Carolyn/Vincent because it suffers from five key problems:
1) It can't take damage/horror assigned to Allies
2) It can't take damage/horror investigators away from you
3) It doesn't trigger their abilities
4) It's 3 exp
5) It doesn't trigger abilities of investigators who care about damage/horror being placed on them
Individually they wouldn't be a deal breaker for the Medics as many healing cards have a variety of those issues, and they still run them. It's them collectively together where it becomes an issue. Because at 3 exp both Carolyn/Vincent are teetering on better options to include in their deck that do many of the points this card fails on (cough Girish Kadakia).
Like if you really care about team soak support that covers the Medics as well why not run an ally deck with Tetsuo Mori/Brother Xavier and Charisma? There's already lvl 0 slot-less asset soak with Something Worth Fighting For or True Grit which are meh cards to include with the Medics because they run into the same issues as this card and they have better options.
But the biggest sin of this card is problem 5), despite the artwork hinting to new players the good combo of characters of Carolyn and Agnes... this card doesn't trigger either of their abilities... As Agnes needs the horror placed on her which comes after the assignment step of taking damage/horror, and Carolyn only grants resources if a card heals an Ally/Investigator card. Congratulations you spent 3 exp not helping Agnes deal free damage and Carolyn give free resources, but you sure ignored that damage/horror! Maybe they thought that triggering abilities was too strong for 3 EXP, which definitely is more on the auto-include side for the Medics.
Yet many of those problems go away for the other investigator types that can include it such as Warden. As William Yorick, Nathaniel Cho, Carson Sinclair, and Hank Samson like the slot less protection (especially Yorick who can play it from a Short Supply discard pile). And it is much easier slotting in a great team healing/soak card than something like Spiritual Resolve and Solemn Vow.
TLDR: Consider it for your Warden investigators for individual/team soak. Honestly, I would shower this card with praise if Hank was the guy on the card and was named something like "A True Hero" to match with similar "assign me the damage/horror" cards like Heroic Rescue or Something Worth Fighting For. As that's the better theme and actual effect of the card.