"doomed to die" is a correct and usable phrase in written English.
It typically indicates inevitability or an inescapable fate. For example: "The prisoner was doomed to die for his crime of treason."
Many of those who might have died as newborns were doomed to die as toddlers.
It begins: Which of my cities am I doomed to die in?
Darmody had deliberately crossed Nucky Thompson and was doomed to die by his hand.
So the 62 which follows must be the age at which I am doomed to die.
As many as 500 more were doomed to die in state-authorized hunts this fall.
If he fights, he has been told, he is doomed to die.
These are starving animals still struggling to live, and yet doomed to die prematurely.
Not so Josh Boone's The Fault In Our Stars, which is about being cute, smart and doomed to die.
By the turn of the century, it was obvious that Hindley was doomed to die in jail.
Given the lack of available treatment in Nairobi, said Dr. Ouma, Simon was doomed to die of AIDS.
As the child of Siegmund and Sieglinde, he is indeed doomed to die at the hands of Hagen, Alberich's son.
