Then, once that was over and done with, Harry went back to thinking about what the hell he was supposed to do about his name. Her name, now, he supposed. Harry didn't really feel like bothering with a potion-regimen that spanned over the course of about two years, and which was pretty darn expensive outside of a school-environment.
Not only would it be an expensive hassle, considering Harry's dark hair and green eyes, the odds were pretty good that he'd end up looking an awful lot like Harry Potter. Combine that with the Potters likely discovering someone unearthing their daughter's body sooner or later? Harry really didn't want to deal with the Potter-family, even if they might've kind of been his family.
He'd lived his life as an orphan, and he'd been pretty happy about how his life had turned out. Trying to replace that with a sort-of-biological family that would probably end up either hating him or walking on eggshells around him? Harry would rather kiss Dumbledore straight on the mouth, than deal with that shit. At least Dumbledore would make a really funny face.
Harry had never really wanted to turn into a girl, but then he wasn't all that shook up about suddenly becoming one either, and certainly not to the point where he really wanted to bother with doing something complicated and expensive to fix things. He might reconsider that in a few years, but he'd burn that bridge when he got to it.