It is our apology; we apologize for our own reasons. If T does/does not respond and what T says, it is always okay to think about it and its meaning but also a good idea to check out one's conclusions with the person we're making conclusions about and/or to remember there are always at least two ways of looking at something, as we "do" and probably its opposite, at least.

If my T did not say anything, I would be inclined to think I did not apologize too much or incorrectly or that T didn't see it as something that needed talking about/addressing right now. But it also could be that T didn't notice (and I could/could not be apologizing "too much" -- says who though if the one I'm apologizing to doesn't mention it?).

For me, trying to re-assure someone with "you have nothing to apologize for" is a little like telling someone not to cry? If you feel you are apologizing too much then you are, if only for yourself and your own sensibilities! The other person can't help with that because they aren't in charge of or causing the apologies? If you want help from T to not apologize too much, you have to explain that you feel you do apologize more than you'd like to and ask if T will help point out when you are apologizing and stop it so you can get the knack of realizing what is going on with you that causes you to feel you have to apologize for it and/or to just learn to "shut up" instead of automatically apologizing.

I think we know when we have truly done something wrong, so worrying that one won't apologize when it is needed is probably not a legitimate worry? It then becomes just a lesson in how to tell when something is truly wrong and when we just think it is.