Been here a few times and I can't say I love it.
In the gay village it is definitely a gay- pickup bar. Sound like it would be obvious? Not necessarily. There are a few queer bars in the village that attract women as well as men and are more geared towards dancing, taking in the [drag] shows, or socializing with a mixed crowd. But Woody's is definitely a gay man's cruising spot.
Not that they won't welcome you if you aren't gay and/or cruising. But it's just that you won't really have as much fun if that isn't your goal and you are better off at other places in the village.