Annie stays behind. She's not a nurse. Her medical training consists of Red Cross first aid and CPR courses, and what she's picked up from Dr. Aquilar by sheer repetition, but that's not enough for this.
So she goes to Mr. Kingsman, engages in a short conversation over his next appointment, and sends him on. (He tips his hat to her and to Sallie as he goes, with a dignified "Good night, ladies.")
Then she vanishes into the back exam room to check on Corrigan and explain the situation, which takes a bit longer, and then she comes back, and crosses to Sallie, and drops down onto her vacated chair. "Hey," she says, quietly.