Oh, thats intriguing… sounds like your character is more than immediately meets the eye?
Anyway yeah it seems like most the rp guilds I run into these days are heavily military/war themed, which is great if your character is the type who would fit in with the military but not so great otherwise.
I’d encourage you to check out Stormwind University, who are all about research and exploration, magical and otherwise. They take all sorts of scholars from all cultures and they’d probably appreciate the perspective of a pandaren medic.
Since you’re interested in neutral organizations then you might also be a good fit for the brightmoon fair:
I think they have a guild on hordeside and alliance side and they organize these big festival events! Theyre super fun!
And then there’s some more anti-establishment, criminal guilds out there like
the prophecy of knives (not sure if your character is interested in cloak and dagger stuff, but at least its not Yet-Another-Military-Guild!)
And theres also lots of pandaren themed guilds that are more interested in living our best pandaren life rather than weighing in on the faction war.
Personally I don’t feel the need to actually join them because they’re always welcoming at their neutral events and festivals even to those who aren’t in their guild!