Sick is a VERY bad choice of wording how he felt about your story (BTW kudos for sharing on your 4th session- takes guts to be that open with a virtual stranger). Did he really say sick? Just wondering given that you're not a native E speaker I'd think that there's a chance the convo was in you mother tongue and thus this would be a translation so at least some meaning could be lost (connotation-wise)?
Back to your original question: No, my T didn't share with me how "my story" made him feel. I was all about me.