Diana of Themyscira (Earth-1: Pre-Crisis)

"Besides, if I were gonna save you in a dramatic fashion, I would totally dress as Wonder Woman."

- Kate Kane to Sophie Moore

Wonder Woman was a well known individual with a recognizable outfit.

Biography
At some point before 2018, Wonder Woman became known to the general public.

Later, Kate Kane told Sophie Moore that she would have dressed up as Wonder Woman to save her instead of Batman.