Interesting, interesting.... for me, personally, I feel very comfortable with straight natal females, gay natal males, and very selectively some trans women.
My reasons for each:
Straight natal females = the very epitome of who I am and want to be, good tutors in all female ways, fun to go out with to straight bars/clubs
Gay natal males = heck, I used to be gay so I still have tons of gay friends who I haven't lost when I transitioned

fortunately for me, they are pretty well-educated about transgender people, I know many gay men are not
Very selectively "some trans women" = I am all for hanging out with my trans sisters, but I do not like the drama queens or bitchy ones... or the ones who stroll down and up on the street at all hours in cheap dresses that barely hug their asses and stilletos. lol. I like trans women who actually have an education, are cool, mature, and do not have a cocky attitude just because they have implants.
Other than that, I am a very private person, and like someone else mentioned above, don't become friends with someone right away easily.