There are some styles that I just don't like. A woman who has all of her hair in braids turns me off, reminds me too much of the Medusa, from the 70s movie
Clash of the Titans, (as well as in mythology) cutting it very short is also a turn-off for me. Her hair should be styled and present a feminine appearance. If her hair meets that standard, and doesn't fall into a style I specifically don't like (on a lady) she's good to go.
I do have a preference for longer thicker hair over shorter hair. Bangs are nice too. A woman can have hair of either length and look good though, depends on the woman in question, some simply look better one way vs the other, to my eye.
Here's an example of a really good looking hairstyle on Mariah Carey IMO.
An even better one can be found on the back cover of her Daydream Album
I personally wear my hair cut short, with the sides and back being shorter than the top, brushed back. My hair is somewhat wavy in texture.