I used to know a (real, not imaginary) female firefighter, whose hobbies included boxing, sky diving and mountaineering.
There's nothing wrong with characters who are outside of the social norms, as there are real people who are outside of them - they're the interesting people. The problem with the kick-ass female protagonist tends to be that she tends to be horribly written, as a one dimensional fetish in high heels and leather pants, or as a insipid Mary Sue wish fulfillment.
In conclusion, I like characters that are well written.
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