sad to see that such minor things can ruin a daycare relationship.
If this happened twice and you apologized there should no longer be an issue.
Almost everyone who works has had a morning where the alarm didn't go off....etc.
It's just worst for us because if the alarm doesn't go off we get woken up with a knock at the door lol
I think you handled it well by telling her to essentially accept your apology and move on of find care elsewhere.
I would really have a hard time with a parent like this.
Perhaps a center would suit her needs better ?

I also get up an hour before daycare opens, I am dressed, have makeup on but sometimes my hair is wet when the first child arrives... if ANYONE ever mentioned anything about that they would regret their comment.
Keep us posted !