I never saw the other characters as being hostile towards Chapel. McCoy teased her about the plomeek soup ("Amok Time"), disciplined her to follow orders during surgery ("Operation--Annihilate!"), but his short tempered "Released!" in "The naked Time" was aimed at Sulu being held down by an orderly...Chapel was just standing in the background holding up the wall and staring dreamily at the world.
In "A Private Little War" Scotty grabs her when she's slapping Spock but that was just Scotty being shocked at walking into such an unusual Vulcan medical procedure.
I think TAS was the worst at showing Chapel's best side. She allowed Mudd to escape in "Mudd's Passion" and fell into the aquarium in "Terratin Incident."
In "A Private Little War" Scotty grabs her when she's slapping Spock but that was just Scotty being shocked at walking into such an unusual Vulcan medical procedure.
I think TAS was the worst at showing Chapel's best side. She allowed Mudd to escape in "Mudd's Passion" and fell into the aquarium in "Terratin Incident."