The sentence is not wrong, but it would normally be written as follows: She was taken by ambulance to the hospital, or She was taken to the hospital by an ambulance. Just two simpler ways of writing the same sentence.

Yes, it is correct. ''She was taken away in an ambulance to the hospital'' You can also write like this ''She was taken away in an ambulance and hospitalized for few days.''

This sentece is correct? ---> Is this sentence correct?

either "she was taken away in an ambulance" or "she was taken by ambulance", both are correct. :)

Yep, it's correct.