Why don't they go outside in cold weather, mine go out all winter, they only stay inside when it's snowing or blowing too much, and glad you can appreciate her personality, she will be one you'll always remember.
She sounds smart and she's probably your dominant hen, you should admire her intelligence and her great survival skills. There's always a leader in a flock yours is lucky enough to have a strong one. I'm going to assume you have no rooster so she is trying to do some of the roosters job like...