Being upset is wonderful!

I know it doesn't feel good, but it's going to help the therapist understand what matters most to you, where you're really at in life, and that will give him or her so much opportunity to effectively help you.

Being open is an asset, not a liability.

However, what I would do, to calm your anxiety, is let your potential therapists know about this via email (or phone) when you are scheduling first interviews.

Also, being emotional isn't the same as trusting deeply: that's another necessary part of the work that will happen over time. Some of us just need that trust established before we do the whole crying thing. Don't worry, there's no wrong way to do it- show up and be kind to yourself and honest, that's my advice if you want it.

(P.S. Yeah, that therapist was not showing off the profession in a good light. A qualified, caring therapist isn't going to start minimizing your upset when you walk in the door, nor will they blow your name, which is just a basic, fundamental sign of respect!)