despair -- (abandon hope; give up hope; lose heart; "Don't despair--help is on the way!")
Overview of adj despairing
The adj despairing has 1 sense
despairing, desperate -- (arising from or marked by despair or loss of hope; "a despairing view of the world situation"; "the last despairing plea of the condemned criminal"; "a desperate cry for help"; "helpless and desperate--as if at the end of his tether"; "her desperate screams")