The collections that you link in are the names you see.
STOMP is the master collection
Stomp_GEO is the collection that holds the geometry (mesh)
You want to Link in the master collection (STOMP)
and then make a proxy of the rig (so you can move the geo). That is called “Stomp_rig”.
None of this is simple, it’s 3d art after all, but once you get your head around it, it will become second nature.