イ, なぐさ.める, なぐさ.む
consolation, amusement, seduce, cheer, make sport of, comfort, console
JLPT1 G7 S15 F1158
As per 尉# (bending figure that is branded) + 心 heart/emotions → *comfort*/*console* a person who has been branded (= a person who is suffering) → *cheer up* → *relief*; *hobby*; *amusement*; *diversion*; *pastime*; *make sport of*. For the idea of comforting a suffering person, compare 恤.
[Full Kanji Etymology List]