Please don't assume that every coin with a woman's face on it is Susan B. Anthony! U.S. coins at that time carried stylized images of MISS LIBERTY.
Your coin is called a Barber half dollar after its designer Charles Barber. There's more information at the Related Question.
Anthony's picture only appeared on $1 coins struck in 1979-81 and 1999. Anthony was alive (and very unpopular) in 1902 so she legally and politically would never have appeared on a coin from that time.