Jeremy Neal has probably the most insightful perspective on this placement:
6th House: Here is always a tricky placement for Chiron, regardless of sign, because it manifests as an experience of one’s work and health not mattering. Here is a person who becomes sick and nobody seems to care, or who is dedicated and conscientious in their job, but somebody else always seems to get the credit for the smallest and most insignificant contribution, while your own enormous dedication is ignored or glossed over completely. This is also a calling to become a healer in this lifetime, especially where Chiron is retrograde also and if conjunct the descendant, counselling ought to be a part of the design too. I have noted a strong propensity for pacifism with this placement, since no doubt, it seeks to habituate the pain of violence in some way and heal the dichotomy of war and suffering in the world, (it’s a big ask, but Chiron in the 6th wants to heal the lifestyle of course, their own and everyone else’s!) Thus healing (6th) of violence (Aries) is of particular import here. Bertrand Russell, whose daily work was as a philosopher spoke directly to Chiron in Aries’ sense that their contribution is not properly acknowledged when he said: “The trouble with the world is that the stupid are cocksure and the intelligent full of doubt.” Here is a statement that speaks volumes about 6th house themes of habituated attitudes and the angst they cause; and of course Russell was too a vociferous opponent of both the Vietnam War and nuclear armaments.