She kept him 'in suspense' [=waiting anxiously] for two whole days before she agreed to marry him.
I don't know who won and 'the suspense is killing me'. [=I am very anxious to know who won]
The 'suspense' builds as the story progresses.
(..) Percy, you make the report to the warden for me. Say the situatiors under control. It's not a story. He won't appreciate you drawing out the suspense. What about you? You're about to collapse. I've got the Mile till you all come back. Go on, now. Go. (..)1999 The Green Mile