What does "bombing" mean? [closed]

This most likely comes from the show business tradition, hence the quotation marks. There one who bombs or is bombing fails miserably to entertain the audience. Here your protagonist is afraid of failing badly at the job they are trying to do. American English is filled with the experience of failure described as bombing.

In American English a bomb is a failure while in German it is a great success. No symbolism please. In American English a great show or movie would be called a blockbuster which was a very large sort of bomb back in WWII.