First, make sure the recep is not controlled by a wall switch.
It happens
The typical circuit runs from one recep to the next recep (or switch) throughout several rooms in the house.
Use a lamp to test other receps in the same and adjoining rooms. It is likely that more are not working.
If you find other receps not working, use some logic to figure out the path from the panel and look at the first non working recep or the last working one.
If your TV recep is the ONLY one affected, look at the nearest recep (it MAY be in the adjoining room).