I didn't have room to elaborate on the whole Vulcan healing thing. In the episode, Dr M'Benga tells Nurse Chapel to "do whatever Spock tells you" when he regains consciousness. What he doesn't tell her is that Spock will ask to be hit, because it's the Vulcan way of stimulating the body to heal itself. Naturally she is reluctant to do it.

In another example of great doctoring in this episode, McCoy says at one point, "He'll either live or die now, Jim. I don't know which." I reckon Chekov could have given a prognosis as comprehensive as that.

Transcript

1
Captain's log, Stardate 4211.4. Surveying Neural, where I was stationed 13 years ago.
Kirk: Pre-contact. Bows and arrows.
Spock: I see flintlock firearms.
Kirk: They're ambushing my friend Tyree!
Caption: White hair = good
Caption: Black hair = bad
2
Kirk: I'll shoot them.
Spock: Phasers are expressly forbidden.
Kirk: I'll throw a rock.
McCoy: Sure, maiming natives with familiar weapons is fine.
3
Caption: Spock gets shot!
McCoy: Dr M'Benga interned on Vulcan. He can treat Spock.
M'Benga: Yes, but I won't tell Nurse Chapel anything about Vulcan healing.
4
Chekov: Kiptain, Klingon wessel!
Kirk: If they're supplying guns, they've broken treaty. Bones, we need evidence. Native costumes!
McCoy: You just love dressing up, don't you?
5
Caption: Mugato attack! Kirk poisoned!
SFX: Raarh!
6
Tyree: I am Tyree. My wife is a kahn-ut-tu.
Nona: I will heal this handsome shirtless man!
7
{Nona embracing Kirk in front of Tyree}
Kirk: Wow, I seduced you even while unconscious.
Nona: You must give us magic sky weapons to fight the villagers!
8
Kirk: No, our Prime Directive says we can't interfere.
McCoy: What if the Klingons are arming the villagers?
Kirk: Then we interfere!
9
Caption: Yup, Klingons.
McCoy: These villagers don't know how to make guns.
Kirk: Right. We give the hill people the same guns!
10
McCoy: Or we could report Klingon treaty violation, remove the guns, and let their culture develop naturally.
Kirk: Where's the fun in that?
11
Tyree: Villagers killed my wife! I was a pacifist, now I want firesticks!!
Kirk: No problemo.
12
{Enterprise bridge}
Kirk: All's well that ends well.
McCoy: We just started another Vietnam War.
Kirk: And an allegory too! Another job well done!