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BethRags, I agree with Nammu that the therapist sounds nice and legitamently concerned. It's ultimately up to you and what feels right, but perhaps it's worth a try...at least. Sometimes the dread we feel about a potential discomfort (i.e. environment) is surprisingly wiped away or eased, when we face it.
I've found for myself that therapy styles I couldn't benefit from at some point(s) suddenly became helpful later down the line. A time "must be right". I'll say that no therapy type helped me control my past anxiety better than CBT did (and still does). Nowadays I don't "do CBT with a therapist", but I use the skills very frequently. Do I use or like all of them? No! But some have been right for me. I have my individual needs and preferences based partially on my changing situations, my personality, and other factors. Way back 10 years ago, I couldn't "get" mindfulness, nor could I possibly practice it, given my mind frame and mood condition. Now, I am the biggest proponent. Truth is, I had previously fought against what was meant to heal me...to bring me to a good place again. Like Dorothy in the Wizard of Oz who always had the path back to Kansas, but needed to journey to realize it.