Given your situation and that you already have a therapist you feel somewhat comfortable with, my advice would be to do as you suggested above. Give your current therapist one more visit but do get the referral to the gender therapist while there. You never know. Your current therapist might be just what you need right now to get you leavelheaded enough to where you can make better and more informed decisions on where and how best to proceed from this point forward.
As for me I've known I was a girl from my earliest waking moments in early childhood. I never panicked over who I was or the fact I was female as I've always been sure of this and comfortable in my core identity. Where the panic attacks, and there were too many to count over the years, came was when I kept hitting the brick wall over trying to transition and not being able to for one reason or another that at the time in my very anxiety ridden mind, seemed legitimate. Then they came on again as I got older over the loss of so many years to misery that I could have lived happily had I not let those afore mentioned reasons stop me from transitioning. Even after going full time 5 years ago I lived with the panic and depression over those lost years until 4 months ago when I started my hrt. On my third day in, the panic and depression roller coater ride finally ended and I have never been happier.
Everyone's situation is a little different though simmilarities exist in all of our stories. In the end you need to do what makes you feel the most comfortable given your situation and those facts that only you can know. If you get a good vibe from your current therapist why not give him or her one more appointment to help you sort out a plan of action. Like you've stated you'll cover your bases and be confident once your on your way you've made the correct and smart decisions.
Best of luck to you Tegan whichever route you decide upon.
Ally