'nasty fall' is correct and usable in written English.
You can use it to describe a fall that was particularly unpleasant or dangerous. For example, "I took a nasty fall on the ice last week and broke my arm."
To avoid a nasty fall, remember that after the cane has reached the bottom of the stairs, you still have another step to take!
Many lesser performers would have missed an entire verse at such a nasty fall.
(He recently sustained a concussion and a broken nose in a nasty fall).
Harrison Hanafan is a plastic surgeon who takes a nasty fall on icy Madison Avenue.
Sowa had a nasty fall three months ago and fractured her elbow.
Reconnoitring the course the day before the start, Froome had a nasty fall.
Peter has had a bout of bronchitis and then had a nasty fall outside his house.
Don't be surprised if it takes longer, especially after a nasty fall.
Bart attempts to escape by jumping a trench, but fails to make it and takes a nasty fall.
Two years later, on the same pipe, the Canadian freestyle skier Sarah Burke took a nasty fall.
