The potential answer is in both of you, which is why you can't know whether or not your feeling should be the basis for an action until you talk about it with him.

Now you're feeling his lack of response to your e-mail is also a rejection and using that feeling as evidence of your conclusion. But again, you don't know the reality of his lack of response, only the feelings you have in response to it.
You can't know what he is thinking and feeling, only what you are thinking and feeling. You're using your feelings as evidence of his intention, but his intention can only reside in him until he communicates it to you--and he hasn't yet.

The fact that you don't have a set appointment complicates things somewhat. You seem to expect him to contact you about an appointment and using that as evidence of whether he wants to repair the relationship. But how have appointments been handled in the past? Most Ts defer to clients to initiate appointments because doing so respects the clients' autonomy. I wouldn't expect him to change that behavior. Since he has responded to e-mails in the past, I expect he will respond, but will probably say that he's sorry you were upset by the last session, and that your concerns would best be discussed within session. He may go so far as asking you to call for an appointment if you want to have that discussion.