You know, one or two errant shots - I could see it.
They hosed her down. Might as well have had a belt-fed weapon.
"Why not, Joe?" - The Lost Room
"There is no situation so bad, that cannot be made worse with the addition of police."
Police in combat shootings (against armed opponents) can rarely hit any target more than 20% of the time. This has been well-known for decades by researchers in that field. When facing continued fire most people cannot even shoot that well for more than half a minute. In a sustained gun battle, there will always be a lot of bullet holes in places where they were not wanted.
"One or two errant shots" is an unrealistic expectation.
And about 30% of hostages are killed when criminals keep shooting from behind them.
Some problems do not have happy solutions.