1. Does the link .../ show up in the HTML source of the exported
document? Is the relative URL correct?
2. Wild guess: Are you perhaps expecting the default org-mode
stylesheet to go away? It doesn't; default styles will still be shown
if they are not specifically superseded by those you add.
I am trying to set up a website using org-mode and would like to use an
external css stylesheet. I am currently using the #+STYLE: option with the
argument link rel=stylesheet type=text/css href=./stylesheet.css /. The
exported html documents seem to be using the default org-mode styling