Hint 4: This character is VERY STRONG (physically). Literally, the strongest in the entire game despite being female.
Hint 5: This character is A REDHEAD. (Which was sort of a clue from the color I asked you to use for your guesses. Hahahaha.)
Hint 6: This character has a party member who harbors A CRUSH on her.
Drive-by hint: She entered and won a fighting tournament in her game. The person who was supposed to be her final opponent didn't show. That final opponent she never got to fight turns out to be the Final Boss of the entire game.