Yes of course. Although personally I have a problem imagining what kind of job that would be. My country has a female prime minister, female finance minister, female work minister, female culture minister.... female soldiers, female bishops. What kind of job is still considered unusual for a woman?
I would like it but I would also be puzzled. Why would I want to be cool?
Would you like me if I assumed you'd want to know how to use every weapon in the household?