hmm....I have a suggestion which I hope may help.
If you really want to connect with her, maybe one day, complement her on her hair, outfit, nails, etc. and start the conversation that way. Or come in with something girly like nail polish or earrings or something and start a conversation with her. Once you're friends, you could confide in her that you're going through some things and needed a friend to talk to.
Like many others have said, you really don't want to approach this from a "Hi, I'm trans too" type of thing since not everyone will be receptive to it. I personally wouldn't be.
Good luck and keep us posted.