I think the therapist could easily have used what you said and reconfigured it into "feeling" terms if that's what they were looking at. For example:

You: "It feels like there's nothing I can do to protect people or to help people get better. It's like everyone around me is reaching out for an emotional life preserver and I'm the only one in the boat. But I can't take everyone in, and if I try to, I'll end up drowning too."

Therapist: "What I'm hearing is that you feel helpless. You feel responsible for helping your loved ones, and overwhelmed by this, and perhaps a guilty that you can't help them in the way you want. Is that right?"

And then you could clarify and unpack it further.

Instead she shut you down for no reason and made you feel judged for expressing yourself the "wrong" way. What a bad therapist!! I'm so sorry you went through that!

By the way, I can relate to what you described. In late 2020 I had 3 people I loved going through suicidal ideation, my best friend struggling with Pure O OCD, and another friend going through deep depression. And it felt like as the "strong one" they were all relying on me and if I let them down, they might die. It was horrible. Actually it was what forced me to start going to therapy myself as I felt a professional was the only person around me who could take on MY pain without being overburdened as everyon eelse was suffering worse than me and if I laid my pain on them I risked making them worse.