If you think your T could possibly have an issue with you e-mailing so much (just a guess since you said she didn't give a clear answer), I'd suggest doing what ruhroh and DP_2017 suggested and cut back on your own. I used to have unlimited e-mailing/texting (but usually e-mail) with ex-T, and would usually only e-mail maybe twice a week, but often quite long (and not generally getting response--was part of deal). And eventually, that got to be too much for her, and I only found out once I asked. It was very painful to find out she'd been bothered by it and needed me to cut back--it definitely damaged our relationship. Recently, my marriage counselor, who also never put limits on it, said I'd have to start limiting outside contact, which was also extremely painful (more so than ex-T, due to my attachment/transference for him). So if you can do it on your own, I'd suggest that.

You could also try journaling, just typing up your thoughts online like you would an e-mail, but don't send it. Then you could even bring it to session either to have your therapist read or to remind you of things you want to bring up. I've done this a few times with my current T, who charges for e-mails that take longer than 15 minutes--that boundary annoyed me at first, but I'm also realizing it's helped keep me from getting into bad habits with e-mailing him (as I'd done with ex-T and MC). Instead, if I need extra support, he can offer me an extra half or full session, which I'd done a few times. It's helping me learn to sit with my thoughts and anxiety more. (I also think I'm at a place in therapy where I'm more ready to do this--two years ago, would have been much harder for me.)