User > C: > Program Files (x86) > Delete the Electronic Arts folder. You also have Screenshots saved under your Documents in the Star Wars - The Old Republic folder.
After that I'd click on your main drive again & search for anything "Star Wars" or "SWTOR" & delete all those, to be sure there's nothing left in app data & what not. Just be sure you delete the SWTOR files/folders & not any other games that may share the words Star Wars.
