I'm having this exact same issue. Betsy is also in Hope for me as well. There are no enemies around.
When I first met Betsy, it was at Camp McCarren, before going after Cook-Cook. I told that sniper squad that she is in to go meet at the quarry and I'd lead one of the fiends there. But I ended up killing that fiend (accidentally), so I'm wondering if maybe she's still stuck on going after whatever fiend that was. For the record, I did complete that mission: going after the 3 fiends, and got my bounty hunter reward for all of them.
If I could just get any dialogue options with Betsy, I'd be fine, but when I try to talk (as stated above) she says "quit talking, we have a job to do" (or something like that) without ever taking me into a dialogue with her.
As a completionist over 40 hours into this wonderful game, I really hope this gets figured out.

I'm about to complete every single Camp Hope quest there is to see if that helps change anything with her. I'll reply back with my findings...