I don't know how old you are, and you don't say how long you've been "obsessed," but I'm guessing that what you are experiencing is usual for most people at some stage of this process. I know for myself that every time I've gone through a major life transition of any kind (I'm in my fifties, so I've been through a few, including coming out as a lesbian years ago, which bears at least a few experiential similarities in terms of its impact on my whole life) for a while I am consumed by it and it is in the forefront of my consciousness and sometimes even my dreams, until I assimilate it into my daily life and who I am, and then eventually some of the energy is freed up again for other things.
I'm at an early stage in the transitioning process, so right now I'm kind of obsessed with it, too--most of my reading right now has to do with it, and it is the lens through which I'm observing the world around me, for the most part. After all, it's a huge thing that is impacting every aspect of my life, and who I am. But I know that once I am further along and the experience is more integrated, its place on center stage will recede. At least my experience with other things makes me believe this will be true.
I'd say, give in to the obsession and don't worry about it. Probably helps if you have people you can talk to about it, either close friends or family, and maybe a therapist. I'm finding that helpful for me. Also, if you're into it, journaling is a good outlet.
