I can certainly identify...
I had a "transition backlash" of sorts... I started on my own and didn't even tell my first therapist that I was Trans... When I finally came out I had already been on hormones for 2 1/2 years so my new therapist and I had to do some backpedaling for awhile... About 6 months into living full time I had a serious breakdown and wound up inpatient at the local mental hospital. There was so much that I put aside because I wanted transition so badly and it hit me all at once.... I became very depressed and suicidal. I can't say that I would have delayed transition or that I regret starting before talking to my therapist but things would probably have gone more smoothly if I had taken my time.
Don't forget that just seeing a gender therapist is a HUGE step... She's being cautious because transition is an incredibly big deal... the hardest thing you'll ever have to do. Sometimes it's so amazing that you'll just break down and cry because you're so happy but there will be times when you think that you just can't go on..... you have to be ready for that.
A suggestion for speeding things along, though? Get educated! Study the WPATH Standards of Care so that you know them better than your therapist. Tell her about all that you've learned about the effects (and side effects) of hormones. Demonstrate that you've done the research and are aware of the legal aspects of transition in your area. She's looking for you to be quite informed and at least making progress with your other issues before she'll feel comfortable with you starting. You can start working on your voice and mannerisms, too, and start to change them when you speak with her... tell her that you're working on them.
Something that would be worth your mentioning now, though, is asking her to consider your starting antiandrogens (or antiestrogens, U didn't identify yourself as MTF or FTM) If you've been in therapy consistently for at least 3 months and feel as if you're making progress with your other issues, I think it's worth pushing for a letter to authorize medication to at least suppress the hormones your body is producing now. They won't make drastic changes but at least they'll stop any more "damage." One could rationalize that just knowing that "damage" is occurring is making you more depressed and anxious.

Well good luck and keep us informed, K?