No, I’m confident about what I said. Exposure therapy is one part of CBT.

I did CBT for PTSD and death anxiety, the latter involving large bits of exposure therapy.

https://www.psychologytools.com/professional/techniques/exposure/

Do you have any evidence about men having issues with this sort of therapy or is that a personal observation?

Edit: honestly it sounds like you had a bad therapist experinece and that therapist has no idea what CBT is (and sorry to say, but neither do you particularly)

Edit: had to add the passive aggressive smiley :)