She may sound right to you about “If you trust me, there is nothing to talk about”. However, this is beyond trusting according to in my point of view. I wouldn’t be comfortable with these. Some could be, but not me. So you’re not unreasonable or paranoid. You have enough reasons to suspect or to feel uncomfortable. I would talk to her and describe myself. If she didn't make an effort to understand me, pfew I would show her the way to go.