The article correctly points out that 'England and Wales voted to leave the EU while Scotland and Northern Ireland voted to remain.' After that the article never mentions England again, but refers to the 'British' and 'London', which is where Parliament sits.

As for painting herself into a corner, Sturgeon must have painted herself into a corner with a door. If she is denied permission by Westminster, she can point to this as interference in Scottish democracy. Even if she loses she wins in a way.