I will, on occasion, enjoy things that aren't well written, and vice versa. 'Well-written' is a qualitative judgment that I try not to make about me, but rather about what I know about literature as a whole. If I tell someone that something is well-written I mean that there were no or few grammatical errors and typos, that the story flowed well and was paced appropriately, and that the over-arching plot came to a satisfying conclusion. Also, something that shows intense research will make me kind of giddy. ♥

But I do agree that asking for something that is 'well-written' is very vague. What I use to define that won't be the same as what the next person uses, and it sets us all up for disappointment.