If Hana's childish personality is to blame for her wings not accepting her, and she gets that personality from a lack of friends...
But she doesn't have any friends because of the wings? Like WTF , seems like the wings are more of a brat than their owner, that or the angel society are all hypocrites. Like outcasting a fellow angel, even if they lost their wings (which totally doesn't even look like her fault, like that could have happened to any angel that fell), is way more immature than anything Hana's ever done or said.