I'm guessing Hot Blooded was the default title used when hacking the DLC. So it will be the song you installed, just with the wrong title.
Using the Wad manager will only install the SONG.wad, and while this works, no matter what the song is, it will show up in the game as HOT BLOODED. Using the WAD Manager is not a good idea. If you try to install a bunch of songs with the DLC installer without booting the game and moving the song to the SD card in GHWT, you'll find only the LAST song you installed will be sitting in the Wii's memory and you've just wasted a lot of time for 1 song. It is a pain if you want to do a lot of songs, but you have to reboot the game every time you install a song and move it to the SD card. Then you should see the song on the Wii's memory.
THEN, boot GHWT, go to options and go to archive.
Then you Install the titlefilessong.wad using the titles.wad setting second. You should install the WAD with the actual song title in the name FIRST and install it with the Install Song.wad setting.