I remained aloof but was pushed to answer! I told her what I was doing (hiking the peak district) but didn’t deny or confirm that another person was involved also.
What do you mean you were "pushed to answer"? You know you don't answer to her anymore, right? She's in your house gallivanting around with OM, why in the world do you think you owe her a thing?? Just flat out tell her "what I do with my personal time is my business and I would appreciate it if you would quit asking as I do not feel comfortable discussing my private life with you." Period, end of story. You're still being too nice to her I think.