To be fair I've been to the US a few times and I've never been shot and I did end up in hospital and it was smooth as butter. Because I didn't hang around where I was likely to get shot and actually checked my insurance cover and had the cert on me.
Note I live in London and everyone tells me I'm going to get stabbed too and die from the pollution...
London's homicide rate is (roughly, depending on which source you use and year you take) about one-fifth of the average US homicide rate; you are safer in London than in almost anywhere in the US.
13 per million per year in London. 60 per million per year in New York.
That's an 0.006% chance of getting murdered killed in NY every year.
And that doesn't account for (a) putting yourself in a good position to get killed like being a gang member and (b) the aggregate reduction in risk by only travelling there.
Note I live in London and everyone tells me I'm going to get stabbed too and die from the pollution...