I'm frankly repeating myself at this point but I trust Bernie far more on the matter given how:
1- While both have had their issues with LGBT matters, he was far far quicker on the uptake to support legislation that helped LGBT individuals. Even when he was voting for 'traditional' marriage back in like 83'/'82 he still advocated for gay expression. That combined with his impassioned arguments for lgbt individuals during the mid 90s on the Senate floor regarding DADT and many other matters, to be frank, leads me to be far happier with his history on LGBT rights.
2- Bernie has actually acknowledged my existence as a transwoman even all the way back in the 80s. He was one of the few politicians to acknowledge that the T existed. Hillary literally couldn't even acknowledge my existence late last year. And even in the 08' debates Obama showed he gave a rats ass about discussing trans plights. Hillary in the same debates would only refer to LGBT as gay/sexuality rights only.
Trans-individuals have been pushed under the bus for way too fucking long. Our suffering was silenced during the AIDS epidemic, the LGBT movement itself that was started by transwomen of color was co-opted decades back and we were shoved to the rear when it was originally meant to be a movement about everyone, and now frankly some want to just stop at same-sex marriage.
I'm not going to abide for status-quo and Hillary's consistent reference to LGBT as gay rights or sexuality rights tells me she lacks all kinds of knowledge on LGBT history. It also tells me that she doesn't care about me or that she will actually fight for me. Hillary only seems to come around when it's popular for her to be able to say she supports something and it's certainly still not popular to support trans-individuals. That's slowly changing but....I still don't get the feeling she's going to come around.
In contrast, Bernie feels far more genuine on these issues as he at least supported our rights in some fashion when it was unpopular for anyone to do so.