No official name has been given to this subject in any licensed Crash Bandicoot media; as such, a descriptive name was chosen.
The Cut Titan is a removed Titan from Crash of the Titans. It looks like a cat, possibly a tiger or lion, but is wearing bracelets and an angry, golden mask. It is clearly not currently known what the titan is named. This titan appears in the Crash of the Titans "Voodoo Dolls" concept art.