It's really hard to know what's real or not in therapy.
I frequently suspect my T of acting, though I don't tell her that
The truth is, they have to be acting, at least some of the time. I don't believe in unconditional positive regard and non-judgment and often think there's a disconnect between what she thinks and the BS encouragement she gives about nothing. Call me a cynic.
Though in my case, I'm sure she cares. Fairly sure your T cares too.
Don't feel bad, I'm sure you're not the first person to question her authenticity.