In order to gain access to the pub on the Scorched City level, you will have to manoeuvre a block around the level on the page previous.
On this page, you will use a lever to release a Scorcher from a cave, which you will then control to shoot the purple crystal switch, which will move the block.
After Quill has pulled the lever to release the Scorcher (on the top left of the page), have her jump to AND HANG from the moving block (with the purple switch underneath). Do not let Quill climb up on to the top of the block.
Now take control of the Scorcher and shoot the purple switch several times so that the block and Quill (still hanging from the block) moves back, and then moves forwards and goes underneath the destroyed bridge, resulting in this trophy.