Even if the hut had no floor, if the hut were full of PCs then the earth elemental would not be able to enter the hut because creatures cannot move into an occupied space just by moving.
It might try to push, but it would have to push a PC upward. Is that doable?
It's not feasible to have 9 people inside a 10' x 10' space either if you're following occupied space rules properly. So if the guideline doesn't apply it's fair to say the push rules are unnecessary too.