rofl somehow I was reading your title as "enemy and buddy". I was like, "wut".
Up until now I've been assuming that if you have talked to Buddy first, before running into Emmie, then you talk to Emmie with Pet Pal, you might get a chance to talk her out of it. In my playthrough I ran into Emmie first, and not just that, they initiated dialog on a member who didn't have Pet Pal, so...