I hate how I'm expected to work out some of the indirect things T says sometimes. She's definitely mentioned boundaries a few times lately, often wording it quite harshly. However, I imagine that if you personally were emailing too much, that would be an easy thing for a T to say directly. By talking about boundaries, I think they are talking about there own limits and limitations. We can ask, but they can't always come through for us because of their boundaries that they have in order to take care of themselves. It sounds like it's an explanation your T was giving you. If I didn't like you, then I wouldn't be trying to help you and I can't always reply because of the boundaries. It doesn't sound like a way to indirectly tell you to stop emailing. If that was being hinted at, then it wasn't a good way to say it.

My T is certainly straightforward about those sorts of things. If I think I hear something in what she says, then I try to be straightforward and tell her what I heard or ask what she meant.