Generally, a HDMI cable sends a signal from the receiver to the TV, not the other way around. Now, there are some newer TV's and receivers that allow that with HDMI version 1.4 but that's a fairly recent thing and both he TV and receiver have to have that version of HDMI.
What TV and receiver do you have in mind?
...and, if it goes well, we'll be talking a set of wireless headphones, OK? and speakers don't use RCA cables.