The meaning of a contemporary woman is a woman belonging to the same age; living or occurring in the same period of time.
The contemporary woman is also existing or occurring at the present time and the contemporary woman is also conforming to modern or current ideas in style, fashion, design, etc.
They are also having approximately the same age as one another.
The definition of contemporary is to be living or occurring at the same time or to be belonging to or occurring in the present.