There's stuff you can do to speed it up, like writing it down to either give to t, or to read, but it may end up not being what you hoped. I think what people are trying to point out is that there's value to building trust and taking your time revealing things.
I went in to see my current therapist with very specific goals to accomplish in a relatively short time frame. Some of the stuff I tried to force myself to tell her have caused issues for me outside of session (for a number of reasons, but the big one was a lack of trust). Is also made it nearly impossible for me to speak about that stuff in any meaningful way. I can't get past the shame of it to being able to look at the issues. Time is changing that, but it's felt like a huge frustration to have it out there without being able to get out of my own way in order top address it.
Will that necessarily happen for you? No. But it seems to happen to a lot of people. If you feel the need to still plow through it, find a way to communicate it to your t.I would also suggest maybe talking to her about your concerns of not addressing things in a timely manner...
good luck.