I made very clear at my pre-admission phone consult that under no circumstances should Charlie be given formula without my permission. The midwife told me that as a BFing-friendly hospital, they wouldn't anyway, but I still insisted she make a formal note of it.

I would have kicked up a humungous stink had they offered him a bottle without my permission, and I reckon, if I were your SIL, I'd be writing a massive letter of complaint to the hospital.