Maybe a pine marten?
I'd be very surprised of a cat (or even a fox) would win a fight with feral mink.
We used to get them in the chicken house (where they would kill everything). The first time this happened I rang the local chemist asking to buy some strychnine. There was a kind of strangled cough and he replied " No, Madam, you can't. You need a gamekeeper". The gamekeeper's first words were " Always make a lot of noise before entering your chicken house; trust me you do NOT want to interrupt or accidentally corner a mink. They are absolutely fearless and very dangerous".
I once saw my three large dogs and killer cat corner a stoat, and stoat won hands down Stoats are small terrorists; this one used to come in the open back door to steal from their food dishes. It was absolutely brazen, no fear of me whatever.