Here we go again! As a former fish & wildlife service employee, who worked on Tennessee National Wildlife Refuge, let me jump in here.
If memory serves correct, the refuge was established under the Migratory Bird Treaty Act so yes waterfowl and other migratory birds will always come first.
The major problem faced by the National Wildlife Refuge Systems is limited resources (same as TWRA). Over the last ten years or so, vacated staff positions are often left vacant. Refuges are only able to focus on their top priorities. For TN NWR, that means waterfowl.
Now, that being said, I think that criticism of the earn-a-buck program and their mgt of deer and deer hunting on the refuge is fair. But, keep in mind the limitations they face and try to understand where they're coming from.
Beyond that, you can write the refuge manager to ask for earn-a-buck to be eliminated and then your senator and congressman to demand more funding for refuges.