I didn't expect this to be so difficult to find since it was relatively recent, but my Google searches are turning up nothing but listicles.
- Most likely made sometime between 2005 and 2015
- The two main characters are a female nurse (doctor?) and a male criminal.
- Each of them exists as a fictional TV character in the other's world.
- Eventually they meet. I think they somehow interact through their televisions, but I don't recall the details.
I was originally pretty sure that it was English-language, but I don't trust my memory on that.