Was this the first sign you had from her that she was uncomfortable with your level of emailing or frequency or your approach towards her?
Had you previously cancelled appointments or basically ‘messed her around’?
Usually, people will give a warning/highlight the problem before ending the therapy relationship.
If you had received no indication at all that she found your emails too frequent or the way you related to her unacceptable, I’d expect some kind of warning/guidance about what was appropriate, to give you a chance to improve/adjust. Then if you didn’t, the relationship ending seems fine.
I wonder if she had already commented that your emails were too frequent/long……perhaps reading them took longer than the equivalent of another session with her. I wonder if you had messed her about about appointments or been rather rude or demanding before and this was all just the straw that broke the camels back??
I think your comments to her, that you expected her to speak to you in the paid for session, even though you had cancelled it, were unreasonable. If you cancel, the slot is very likely to be given to someone else…you have forfeited the time and the money.
However, I would expect someone to suggest an alternative possible therapist and perhaps suggest how you might behave with them to give greater chance of it working.
I wonder if after you received that email, if you then bombarded with emails again (how many have you sent since then) and this is why she has ‘ghosted’ you. Ignoring someone who pesters and has no sense of when they are being a nuisance or harassing, is probably a good idea and something therapists are trained to do. And it might be necessary more frequently than you think.
This therapy relationship is over. Leave her alone. If you want to, wait a week at least and then write a very brief email thanking her for her time and asking if she can recommend another therapist.
Sometimes, it’s best not to have a finishing off session…..if that isn’t possible in a productive and timely manner, there can be times when a simple and immediate end is the right thing.
It is hard for us to know what would have been right and Insuspect your own self-awareness in all of this is rather limited so it’s hard for you to judge.
I hope you can find a new therapist and a way to relate with them in a way that works. Perhaps you can write down everything for your own benefit, rather than wanting them to read it all. If there is a lot to explain, oerhaos you just need to accept it is going to take many sessions to explain it all and it cannot be rushed and you need to go at a pace the therapist is willing to work at and within the timeframe they can give you.