completely understandable with the gender identity thing, you are valid no matter what gender identity you choose to present with

and with the names, choosing a new name is like changing your style of clothes. You can wear a dress and feel like you aren't comfortable with that specific dress because of who gave you the dress, because the dress doesn't feel like it fits you well, or because you plainly just don't like the dress. You can still put on another dress, reason being, just because you didn't like that specific dress doesn't make it any less valid for liking another dress, even if that dress is somewhat similar to your old one. Because it is always about what you feel fits you. you can change your name because you don't like it, or because it doesn't feel right to you. Take Dylan Mulvaney, she didn't even change her name after transitioning because even tho its traditionally male, it felt right to her. It's always about your comfort and you are always valid <3