The best replacement for threat is risk.

The best alternatives to threat are rated as following:
★★★★★  risk
★★★★★  vulnerability
★★★  warning
★★  opportunity
★★  menace
★★  promise
★★  attack
★★  threat agent
★  treat
★  weakness
★  challenge
★  danger
★  threat
★  threaten
★  hazard
  ultimatum
  concept of challenge
  balance of power
  blackmail
  intimidation

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Other search terms related to threat and their ratings are:
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Google Trends

Scale is based on the average worldwide traffic of threat in all years. Click on graph for more.
threat
risk
vulnerability