Well since I wrote a critique for the first one, it's only fair to do it again.
I'll start off by saying the new font works really well; it’s simplistic, but it has a lot of character to it, which matches the series quite well. Placing the TG colours in the font as well is a nice touch, especially since you've made it clear that you don't want to shove the fact that Rain is a transgender into the audience's face, and I agree the focus should be on Rain’s character, not her gender.
The only real flaw I can find with this logo however is that it feels incomplete. The umbrella in the last logo wasn't a bad idea, it was just didn't say a lot about the series on its own, so adding some kind of symbol like a silhouette of Rain holding an umbrella, or raindrops with the character's faces inside, or anything you can think of that shows this is a character piece beside the logo and it will be complete in my eyes.
In short, text is great, just needs something to go with it.