Anne provides a good deal of comfort through empathy:
She knows how it feels to be going about her life, minding her own business, not hurting anyone, then to suddenly get insulted/persecuted about one's hair (in her case, the colour); and to be expected just to shrug it all off, forgive & forget, and to keep one's temper (or, as someone once told me, not to take things so seriously)!
Poor Anne has Marilla & other folk telling her to hold her tongue, not to chatter so much. I can sympathise, because I've had friends, foes, and even flippin' family tell me that I spoke too loudly; honestly, I can't begin to feel happy/relaxed/fully accepted anywhere! It's so aggravating, when one hasn't been saying anything wrong!
How AoGG hinders:
The extreme wholesomeness & purity of her world makes the grosser aspects/humiliations of life seem even more disgusting in comparison.
(See the Don't F*rt in Bed
topic, in the Jokes section of the forum.) So, it helps to have some crude idols like The Young Ones, too.