It's not your job to keep the boundaries in your relationship with T, it's their job to keep them. Which sounds like what she's doing by not getting back to you when you asked to talk after the emails. I don't believe she will terminate you for this, but if she does then it means she couldn't help you anymore and are better off without her.

But yes it sounds like it could be a rupture, if it is you can discuss and work through it with her when you get the chance. I still feel anxiety over a rupture with my T when boundaries got moved completely and suddenly, and that was years ago. Sometimes they are definitely acting on what's best for them, not their clients.