I don't dislike and mistrust because she's a 'strong woman' (whatever that means in relation to someone who is essentially a nepotist).
I dislike and mistrust her because of the Whitewater corruption, the White House travel scandal, her failure to accomplish a health plan, her covering for Bill's dishonesty, the theft of stuff from the White House, and her running for office in a state she didn't come from. All wrapped in a selfrighteousness that implies anyone who doesn't vote for her is a sexist.
It doesn't make me a sexist because I like my politicians more honest and more productive.