What is it about Elsa from 겨울왕국 that makes her qualified as an actual hero?

Keep in mind that the test of heroism is to do what ever 당신 can even if 당신 don't have anything special.
Anna went after her sister to restore their kingdom,she fended off against wolfs,she was worrying about her kingdom after Elsa threw them out,she sacrificed herself for Elsa after seeing Hans wanting to strike her down and even gives Kristoff a new sled and saves Elsa...again.
My problem is that Elsa doesn't do much in this story and every scene with her painted her in not a nice way.
I mean yes she wanted to protect Anna and her subjects even to the point of living in a 성 far away where there's no way to live and even prepared a birthday party for Anna for weeks but...have 당신 heard of the phrase "Show don't tell". Why couldn't they have shown her progression instead of talking about it.It would have made her character arc much 더 많이 interesting and emotional if they showed 더 많이 of her.So with all of her dumb decisions,as unintentionally selfish as they are make her look like a rude person.
I just want to ask 당신 what is it about Elsa that makes her worthy to be called an actual hero compared to what Anna has accomplished?