Considering you, medically trained & the father, also discounted the babysitter's first two calls, I'd say she did a darn fine job. Yea, she could have dialed 911 before you the third time, but I'd suspect your council got in the way of her judgement. Perhaps a "something to do differently" bullet item would be not to dismiss the babysitter/nurses judgement.

This is not a personal attack by any means. But thinking about this in the third person, it is something we can all learn from.