"People don't hate Hillary Clinton because she's a woman, they hate her for all those other reasons."
How to respond: Just because all Trump voters didn't actively think, "I'm going to vote for the man because I hate women" (though some likely did), it doesn't mean that the perception of Clinton wasn't significantly affected by her gender. As Newsweek noted after the election"men and women really did choose a presidential candidate this year based on their attitudes about what was acceptable behavior towards women." Indeed, the election saw a measured correlation between hostile attitudes toward women and support for Trump.
Clinton was a prime example of the issues recounted in Sheryl Sandberg's seminal Lean In, where she explores the ways in which women are expected to be warm, friendly, and charismatic — and are penalized and criticized when they're not.
While strong traits in males are generally considered favorable for a leader, strong women are often characterized as "b*tchy" (a favorite of Trump supporters) or "cold" — thus, if you dislike Clinton because she's cold, b*tchy, annoying, or flat-out unlikeable, it's important to reexamine the root of this characterization.