Interestingly, I am a natural blonde and went red for a while. I have a sister with natural auburn hair and we have similar coloring so I decided to try it. My stylist chose a deep red for me with gold and cinnamon highlights (not at all what I was thinking of) based on her professional opinion. I had so many people ask me if that was my natural color because it looked like it was. I, of course, told the truth and most said that it should have been my hair color. I only gave it up because of the upkeep.
I am always typed as a "true" neutral when I get foundation matched at makeup counters and have gray/blue eyes. I have rosacea that gives me some redness in my skin otherwise, I am pretty pale. I can't imagine maintaining red hair at my age (I do light brown with high and low lights) but it sure was fun!
If my dog doesn't like you, neither do I.