Language is fun. It can also be confusing, especially when usage and structure are rapidly and informally changing.
The current usage of genderqueer in the SF Bay Area seems to be an umbrella term for all persons whose gender identity is not on the binary. That is, someone may have a masculine gender identity, a feminine gender identity, or something else, genderqueer.
The genderqueer umbrella as used here covers androgyne identities, bigender, trigender, genderfluid, pangender, and agender identities. I probably missed some, but I hope you get the picture.
As far as Transsexual vs transgender goes, well the most important term in that phrase to me is the vs. I don't think it belongs there at all, as I consider myself to be a transgender person, a person whose gender identity did not match the one I was assigned at birth, and a transsexual, a person who is seeking or using medical intervention to help them align their body with their identified sex or gender.
I'm both, and they are both important concepts to me. These two terms accurately if incompletely describe how I got to my current state and the course of my medical treatment. They do not define me, or limit my life or existence to the bounds of some box, but are simply signposts mapping out my unusual history as a woman.
I am a woman.
I am a lesbian, blue jean femme.
I am transgender, a transsexual person completing a transition to better align body and mind.