Answer:
Rule Utility.
Step-by-step explanation:
Utilitarianism can be defined as a doctrine according to which actions can be correct only if the effect of that action is in the favor of majority or for the betterment of the majority of people.
Rule utility can be defined as a doctrine according to which action can be good only if it is morally correct and conforms to the rules.
In the given, the police negotiator is using the rule utility doctrine because she believes that lying is not morally correct and hence do not conform to the rules, so she will take other actions in the situation.
So, the correct answer is rule utility.