Proposed terms coming from a TD associated with a project are not displaying in Browser Workbench.
The term is in Proposed status:
Resolution
Set the Term to Active (Approved) if you want it to be displayed in Browser Workbench.
Active term:
Now displaying in Browser Workbench:
Root Cause
Only Active Terms Term Database for which there is an entry in the source and in the target language can be displayed in Browser Workbench. Proposed, Inactive or Rejected terms are not displayed.
This behavior is per design. Please refer to this section of the RWS Documentation Center.