You can restrict which groups can view and manually run the rule, when setting up this trigger.
To manually run a rule:
Navigate to the issue you want to run the rule against.
In the issue's Details panel, select Automation > Rule executions.
Select a rule from the Run a manually triggered rule list, and click Run.
You can also see a history of rules that have run against the issue in this area.
Check out how we use manual triggers in our Jira automation template library.