Final answer:
The Windows administrator can use Active Directory Sites and Services to force replication of AD data by manually triggering the process for immediate updates after changes.
Step-by-step explanation:
The tool that a trainee Windows administrator can use to force replication of Active Directory (AD) data is Active Directory Sites and Services. This management console allows administrators to manually trigger replication between domain controllers. To do this, the administrator would navigate to the 'Sites' branch, expand it to locate the respective servers and sites, and then right-click on the connection object and choose 'Replicate now'. This is very useful in scenarios where immediate replication is needed after a change.
While other tools mentioned have their specific uses within the management of an Active Directory environment, they do not have the capability to directly enforce replication. Active Directory Domains and Trusts are used for domain and forest management, ADSI Edit for low-level object editing, Active Directory Users and Computers for managing users and computers within domains, and Active Directory Connector is a somewhat outdated tool referring to services used to synchronize with other directories (which doesn't apply here).