At first you dropped the ball because you asked “How can I help” instead of recognizing she was already asking for help. When you said, “How can I help” it sounded sarcastic.
But then you did a great job of recognizing the anger response and offering solutions and empathy. As a note, always provide empathy first.
“I’m worried about that foot. Tell you what, I can have D7 & D8 back about 7:30. S14 wants to stay with me till morning. Would it help for me to hang out and help with bedtime?”