I actually asked my T after about 3 months. I chose her because she was advertised as being LGBT friendly. She did ask me if it would make any difference to me in our work together if she wasn't but after discussing that she just smiled and said, 'Well let's just say I'm straight but not narrow' and that gender had never been an issue for her in her personal life. I know that technically it was none of my business but it made it easier for me to open up to her knowing that she understood on a more personal level how I live. It's the same reason I chose a female T over a male.