Wrong way around. 'Female' is the adjective, 'woman' is the noun. We don't speak of 'man drivers' or 'man politicians', and I've never heard the series of words

Wrong way around. 'Female' is the adjective, 'woman' is the noun. We don't speak of 'man drivers' or 'man politicians', and I've never heard the series of words 'man engineers'/'man software engineers'. We talk about male and female athletes, but not man and woman athletes. (yes, female can be used as a noun by itself, but usually it's an adjective modifying a noun)